details

property	value
status	complete
benchmark	t62.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n133.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	3.3573 seconds
cpu usage	8.2981
user time	7.86042
system time	0.437683
max virtual memory	1.8814436E7
max residence set size	261964.0

stage attributes

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

output

8.22/3.31 WORST_CASE(Omega(n^1), O(n^1)) 8.22/3.32 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 8.22/3.32 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.22/3.32 8.22/3.32 8.22/3.32 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). 8.22/3.32 8.22/3.32 (0) CpxIntTrs 8.22/3.32 (1) Koat Proof [FINISHED, 1019 ms] 8.22/3.32 (2) BOUNDS(1, n^1) 8.22/3.32 (3) Loat Proof [FINISHED, 1524 ms] 8.22/3.32 (4) BOUNDS(n^1, INF) 8.22/3.32 8.22/3.32 8.22/3.32 ---------------------------------------- 8.22/3.32 8.22/3.32 (0) 8.22/3.32 Obligation: 8.22/3.32 Complexity Int TRS consisting of the following rules: 8.22/3.32 eval_start_start(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb0_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_bb0_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_0(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_0(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_1(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_1(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_2(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_2(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb1_in(v_l, v_h, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_l < v_h 8.22/3.32 eval_start_2(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb7_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_l >= v_h 8.22/3.32 eval_start_bb1_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb2_in(v__0, v__01, v__0, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_bb2_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_4(v__0, v__01, v__1, v__12, v__1 + 1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_4(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_5(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_5(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb3_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 < v__01 8.22/3.32 eval_start_5(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start__critedge_in(v__0, v__01, v__1, v__01, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 >= v__01 8.22/3.32 eval_start_bb3_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_6(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_6(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_7(v__0, v__01, v__1, v__12, v_1, nondef_0, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_7(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb2_in(v__0, v__01, v_1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_3 > 0 8.22/3.32 eval_start_7(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start__critedge_in(v__0, v__01, v__1, v__01, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_3 <= 0 8.22/3.32 eval_start__critedge_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_9(v__0, v__01, v__1, v__12, v_1, v_3, v__12 - 1, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_9(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_10(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_10(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb4_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 < v_5 8.22/3.32 eval_start_10(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start__critedge3_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 >= v_5 8.22/3.32 eval_start_bb4_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_11(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_11(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_12(v__0, v__01, v__1, v__12, v_1, v_3, v_5, nondef_1, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_12(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start__critedge_in(v__0, v__01, v__1, v_5, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_7 > 0 8.22/3.32 eval_start_12(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start__critedge3_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_7 <= 0 8.22/3.32 eval_start__critedge3_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb5_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 >= v_5 8.22/3.32 eval_start__critedge3_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb6_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 < v_5 8.22/3.32 eval_start_bb5_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_stop(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_bb6_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_13(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_13(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_14(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_14(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_bb1_in(v_1, v_5, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_bb7_in(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_15(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_15(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_16(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 eval_start_16(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_start_stop(v__0, v__01, v__1, v__12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE 8.22/3.32 8.22/3.32 The start-symbols are:[eval_start_start_10] 8.22/3.32 8.22/3.32 8.22/3.32 ---------------------------------------- 8.22/3.32 8.22/3.32 (1) Koat Proof (FINISHED) 8.22/3.32 YES(?, 99*ar_1 + 99*ar_0 + 152) 8.22/3.32 8.22/3.32 8.22/3.32 8.22/3.32 Initial complexity problem: 8.22/3.32 8.22/3.32 1: T: 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_1, ar_0, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_0 >= ar_1 + 1 ] 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_1 >= ar_0 ] 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4 + 1, ar_6, ar_7, ar_8, ar_9)) 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_3 >= ar_5 + 1 ] 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_3, ar_7, ar_8, ar_9)) [ ar_5 >= ar_3 ] 8.22/3.32 8.22/3.32 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.22/3.33 8.22/3.33 (Comp: ?, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstart7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, k, ar_8, ar_9)) 8.22/3.33 8.22/3.33 (Comp: ?, Cost: 1) evalstart7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_7 >= 1 ] 8.22/3.33 8.22/3.33 (Comp: ?, Cost: 1) evalstart7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_3, ar_7, ar_8, ar_9)) [ 0 >= ar_7 ] 8.22/3.33 8.22/3.33 (Comp: ?, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_6 - 1, ar_9)) 8.22/3.33 8.22/3.33 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.22/3.33 popout

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all output return to Complexity_ITS 2019-03-21 04.46