details

property	value
status	complete
benchmark	Loopus2014_ex2.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n038.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	3.28343 seconds
cpu usage	8.00922
user time	7.59474
system time	0.414474
max virtual memory	1.8755164E7
max residence set size	224956.0

stage attributes

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

output

7.91/3.24 WORST_CASE(Omega(n^1), O(n^1)) 7.91/3.25 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 7.91/3.25 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.91/3.25 7.91/3.25 7.91/3.25 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). 7.91/3.25 7.91/3.25 (0) CpxIntTrs 7.91/3.25 (1) Koat Proof [FINISHED, 1088 ms] 7.91/3.25 (2) BOUNDS(1, n^1) 7.91/3.25 (3) Loat Proof [FINISHED, 1511 ms] 7.91/3.25 (4) BOUNDS(n^1, INF) 7.91/3.25 7.91/3.25 7.91/3.25 ---------------------------------------- 7.91/3.25 7.91/3.25 (0) 7.91/3.25 Obligation: 7.91/3.25 Complexity Int TRS consisting of the following rules: 7.91/3.25 eval_start_start(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb0_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_bb0_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_0(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_0(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_1(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_1(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_2(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_2(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_3(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_3(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_4(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_4(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_5(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_5(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_6(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_6(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_m, v_m, 0, v_n_1)) :|: TRUE 7.91/3.25 eval_start__critedge_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb1_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_i_0 > 0 7.91/3.25 eval_start__critedge_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb6_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_i_0 <= 0 7.91/3.25 eval_start_bb1_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_8(v_i_0 - 1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_8(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_9(v_1, nondef_0, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_9(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb2_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_2 > 0 7.91/3.25 eval_start_9(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_0)) :|: v_2 <= 0 7.91/3.25 eval_start_bb2_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_1, v_m, v_n_0 + 1, v_n_1)) :|: TRUE 7.91/3.25 eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb4_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_n_1 > 0 7.91/3.25 eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_1, v_m, v_n_1, v_n_1)) :|: v_n_1 <= 0 7.91/3.25 eval_start_bb4_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_12(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_12(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_13(v_1, v_2, nondef_1, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 eval_start_13(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb5_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_6 > 0 7.91/3.25 eval_start_13(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_1, v_m, v_n_1, v_n_1)) :|: v_6 <= 0 7.91/3.25 eval_start_bb5_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1 - 1)) :|: TRUE 7.91/3.25 eval_start_bb6_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_stop(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE 7.91/3.25 7.91/3.25 The start-symbols are:[eval_start_start_7] 7.91/3.25 7.91/3.25 7.91/3.25 ---------------------------------------- 7.91/3.25 7.91/3.25 (1) Koat Proof (FINISHED) 7.91/3.25 YES(?, 48*ar_1 + 13) 7.91/3.25 7.91/3.25 7.91/3.25 7.91/3.25 Initial complexity problem: 7.91/3.25 7.91/3.25 1: T: 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart8(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart9(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_4 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6)) [ 0 >= ar_4 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartcritedgein(ar_3, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) 7.91/3.25 7.91/3.25 (Comp: ?, Cost: 1) evalstart13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ] 7.91/3.25 popout

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all output return to Complexity_ITS 2019-03-21 04.46