details

property	value
status	complete
benchmark	cBench_s_SFD_process.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n052.star.cs.uiowa.edu
space	Sinn_2016

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	13.8219509125 seconds
cpu usage	15.531624493
max memory	6.11581952E8

stage attributes

key	value
output-size	923839
starexec-result	WORST_CASE(?, O(n^3))

output

/export/starexec/sandbox2/solver/bin/starexec_run_c_complexity /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^3)) proof of /export/starexec/sandbox2/output/output_files/bench.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^3). (0) CpxIntTrs (1) Koat Proof [FINISHED, 12.4 s] (2) BOUNDS(1, n^3) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_s_SFD_process_start(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb0_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: TRUE eval_s_SFD_process_bb0_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb1_in(v_p, v_match, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: TRUE eval_s_SFD_process_bb1_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb2_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_.0 < v_rlimit eval_s_SFD_process_bb1_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb8_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_.0 >= v_rlimit eval_s_SFD_process_bb2_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_1(v_.0, v_.01, v_.2, v_.3, v_.0 + 1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: TRUE eval_s_SFD_process_1(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit), eval_s_SFD_process_2(v_.0, v_.01, v_.2, v_.3, v_1, v_10, nondef.0, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: TRUE eval_s_SFD_process_2(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb3_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_2 < 0 eval_s_SFD_process_2(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb3_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_2 > 0 eval_s_SFD_process_2(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb4_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_2 >= 0 && v_2 <= 0 eval_s_SFD_process_bb3_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_4(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_.01 + 1, v_5, v_9, v_match, v_p, v_rlimit)) :|: TRUE eval_s_SFD_process_4(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit), eval_s_SFD_process_5(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, nondef.1, v_9, v_match, v_p, v_rlimit)) :|: TRUE eval_s_SFD_process_5(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb1_in(v_1, 0, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_5 < 0 eval_s_SFD_process_5(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb1_in(v_1, 0, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_5 > 0 eval_s_SFD_process_5(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb1_in(v_1, v_4, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_5 >= 0 && v_5 <= 0 eval_s_SFD_process_bb4_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb5_in(v_.0, v_.01, v_.01, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_.01 > 0 eval_s_SFD_process_bb4_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb1_in(v_1, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_.01 <= 0 eval_s_SFD_process_bb5_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb6_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_.2 > 0 eval_s_SFD_process_bb5_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb7_in(v_.0, v_.01, v_.2, v_.2, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_.2 <= 0 eval_s_SFD_process_bb6_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_8(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_.2 - 1, v_match, v_p, v_rlimit)) :|: TRUE eval_s_SFD_process_8(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit), eval_s_SFD_process_9(v_.0, v_.01, v_.2, v_.3, v_1, nondef.2, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: TRUE eval_s_SFD_process_9(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb7_in(v_.0, v_.01, v_.2, v_9, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_10 < 0 eval_s_SFD_process_9(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb7_in(v_.0, v_.01, v_.2, v_9, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_10 > 0 eval_s_SFD_process_9(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb5_in(v_.0, v_.01, v_9, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: v_10 >= 0 && v_10 <= 0 eval_s_SFD_process_bb7_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_bb1_in(v_1 - 1, v_.3, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: TRUE eval_s_SFD_process_bb8_in(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit) -> Com_1(eval_s_SFD_process_stop(v_.0, v_.01, v_.2, v_.3, v_1, v_10, v_2, v_4, v_5, v_9, v_match, v_p, v_rlimit)) :|: TRUE The start-symbols are:[eval_s_SFD_process_start_13] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 747314968224*ar_1^2 + 1494629936448*ar_1*ar_4 + 747314968224*ar_4^2 + 162242742480*ar_1*ar_3 + 162242742480*ar_3*ar_4 + 4401881620776952*ar_1 + 4401881620776952*ar_4 + 6760111232*ar_3 + 4460544*ar_1^3 + 13381632*ar_1^2*ar_4 + 13381632*ar_1*ar_4^2 + 1749888*ar_1^2*ar_3 + 3499776*ar_1*ar_3*ar_4 + 4460544*ar_4^3 + 1749888*ar_3*ar_4^2 + 169344*ar_1*ar_3^2 + 169344*ar_3^2*ar_4 + 7056*ar_3^2 + 183410436777546) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalsSFDprocessstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocessbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocessbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) [ ar_4 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalsSFDprocessbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) [ ar_0 >= ar_4 ] (Comp: ?, Cost: 1) evalsSFDprocessbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocess1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0 + 1, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocess10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocess11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocess2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_7, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocess1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_2(evalsSFDprocess10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, o, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13), evalsSFDprocess11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, o, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocess2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) [ 0 >= ar_6 + 1 ] (Comp: ?, Cost: 1) evalsSFDprocess2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) [ ar_6 >= 1 ] (Comp: ?, Cost: 1) evalsSFDprocess2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) [ ar_6 = 0 ] (Comp: ?, Cost: 1) evalsSFDprocessbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocess4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_2 + 1, ar_9, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocess40(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocess41(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocess5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_7, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocess4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_2(evalsSFDprocess40(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, o, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13), evalsSFDprocess41(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, o, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) (Comp: ?, Cost: 1) evalsSFDprocess5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb1in(ar_5, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) [ 0 >= ar_9 + 1 ] (Comp: ?, Cost: 1) evalsSFDprocess5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb1in(ar_5, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) [ ar_9 >= 1 ] (Comp: ?, Cost: 1) evalsSFDprocess5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb1in(ar_5, ar_1, ar_8, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13)) [ ar_9 = 0 ] (Comp: ?, Cost: 1) evalsSFDprocessbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10, ar_11, ar_12, ar_13) -> Com_1(evalsSFDprocessbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_2, ar_11, ar_12, ar_13)) [ ar_2 >= 1 ] popout

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all output return to Compl C Integ Progr 85445