details

property	value
status	complete
benchmark	aaron3.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	8.54555 seconds
cpu usage	14.8494
user time	13.9105
system time	0.938837
max virtual memory	1.8823992E7
max residence set size	233180.0

stage attributes

key	value
starexec-result	WORST_CASE(Omega(n^1), ?)

output

14.76/8.50 WORST_CASE(Omega(n^1), ?) 14.76/8.51 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 14.76/8.51 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.76/8.51 14.76/8.51 14.76/8.51 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, INF). 14.76/8.51 14.76/8.51 (0) CpxIntTrs 14.76/8.51 (1) Loat Proof [FINISHED, 978 ms] 14.76/8.51 (2) BOUNDS(n^1, INF) 14.76/8.51 14.76/8.51 14.76/8.51 ---------------------------------------- 14.76/8.51 14.76/8.51 (0) 14.76/8.51 Obligation: 14.76/8.51 Complexity Int TRS consisting of the following rules: 14.76/8.51 eval_aaron3_start(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_bb0_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_bb0_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_0(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_0(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_1(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_1(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_2(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_2(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_3(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_3(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_4(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_4(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_5(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_5(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_6(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_6(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_7(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_7(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_8(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_8(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_bb1_in(v_x, v_y, v_z, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_bb1_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_bb2_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: v__01 >= v__02 14.76/8.51 eval_aaron3_bb1_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_bb5_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: v__01 < v__02 14.76/8.51 eval_aaron3_bb2_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_9(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_9(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_10(v__01, v__02, v__04, nondef_0, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_10(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_bb3_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: v_1 > 0 14.76/8.51 eval_aaron3_10(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_bb4_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: v_1 <= 0 14.76/8.51 eval_aaron3_bb3_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_12(v__01, v__02, v__04, v_1, v__04 - 1, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_12(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_13(v__01, v__02, v__04, v_1, v_3, nondef_1, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_13(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_bb5_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: v_4 > v__01 + v_3 14.76/8.51 eval_aaron3_13(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_bb1_in(v_4, v__02, v_3, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: v_4 <= v__01 + v_3 14.76/8.51 eval_aaron3_bb4_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_bb1_in(v__01, v__02 + 1, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 eval_aaron3_bb5_in(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z) -> Com_1(eval_aaron3_stop(v__01, v__02, v__04, v_1, v_3, v_4, v_tx, v_x, v_y, v_z)) :|: TRUE 14.76/8.51 14.76/8.51 The start-symbols are:[eval_aaron3_start_10] 14.76/8.51 14.76/8.51 14.76/8.51 ---------------------------------------- 14.76/8.51 14.76/8.51 (1) Loat Proof (FINISHED) 14.76/8.51 14.76/8.51 14.76/8.51 ### Pre-processing the ITS problem ### 14.76/8.51 14.76/8.51 14.76/8.51 14.76/8.51 Initial linear ITS problem 14.76/8.51 14.76/8.51 Start location: evalaaron3start 14.76/8.51 14.76/8.51 0: evalaaron3start -> evalaaron3bb0in : [], cost: 1 14.76/8.51 14.76/8.51 1: evalaaron3bb0in -> evalaaron30 : [], cost: 1 14.76/8.51 14.76/8.51 2: evalaaron30 -> evalaaron31 : [], cost: 1 14.76/8.51 14.76/8.51 3: evalaaron31 -> evalaaron32 : [], cost: 1 14.76/8.51 14.76/8.51 4: evalaaron32 -> evalaaron33 : [], cost: 1 14.76/8.51 14.76/8.51 5: evalaaron33 -> evalaaron34 : [], cost: 1 14.76/8.51 14.76/8.51 6: evalaaron34 -> evalaaron35 : [], cost: 1 14.76/8.51 14.76/8.51 7: evalaaron35 -> evalaaron36 : [], cost: 1 14.76/8.51 14.76/8.51 8: evalaaron36 -> evalaaron37 : [], cost: 1 14.76/8.51 14.76/8.51 9: evalaaron37 -> evalaaron38 : [], cost: 1 14.76/8.51 14.76/8.51 10: evalaaron38 -> evalaaron3bb1in : A'=B, C'=D, E'=F, [], cost: 1 14.76/8.51 14.76/8.51 11: evalaaron3bb1in -> evalaaron3bb2in : [ A>=C ], cost: 1 14.76/8.51 14.76/8.51 12: evalaaron3bb1in -> evalaaron3bb5in : [ C>=1+A ], cost: 1 14.76/8.51 14.76/8.51 13: evalaaron3bb2in -> evalaaron39 : [], cost: 1 14.76/8.51 14.76/8.51 14: evalaaron39 -> evalaaron310 : G'=free, [], cost: 1 14.76/8.51 14.76/8.51 15: evalaaron310 -> evalaaron3bb3in : [ G>=1 ], cost: 1 14.76/8.51 14.76/8.51 16: evalaaron310 -> evalaaron3bb4in : [ 0>=G ], cost: 1 14.76/8.51 14.76/8.51 17: evalaaron3bb3in -> evalaaron312 : H'=-1+E, [], cost: 1 14.76/8.51 14.76/8.51 18: evalaaron312 -> evalaaron313 : Q'=free_1, [], cost: 1 14.76/8.51 14.76/8.51 19: evalaaron313 -> evalaaron3bb5in : [ Q>=1+A+H ], cost: 1 14.76/8.51 14.76/8.51 20: evalaaron313 -> evalaaron3bb1in : A'=Q, E'=H, [ A+H>=Q ], cost: 1 14.76/8.51 14.76/8.51 21: evalaaron3bb4in -> evalaaron3bb1in : C'=1+C, [], cost: 1 popout

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

job log

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actions

all output return to Complexity_ITS 2019-03-21 04.46