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Compl C Integ Progr 85445 pair #381745714
details
property
value
status
complete
benchmark
cBench_subsetdump.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n099.star.cs.uiowa.edu
space
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
4.19772815704 seconds
cpu usage
5.577744109
max memory
4.762624E8
stage attributes
key
value
output-size
204249
starexec-result
WORST_CASE(?, O(n^2))
output
/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^2)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). (0) CpxIntTrs (1) Koat Proof [FINISHED, 2896 ms] (2) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_subsetdump_start(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb0_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_bb0_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb1_in(v_1, v_4, v_7, 0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_bb1_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb2_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: v_cnum.0 < v_limit eval_subsetdump_bb1_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb10_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: v_cnum.0 >= v_limit eval_subsetdump_bb2_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_0(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_0(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_2(eval_random_start(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0), eval_subsetdump_1(nondef.0, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_1(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb3_in(v_1, v_4, v_7, v_cnum.0, v_cnum.0, v_cnum.2, v_limit, v_rangestart.0)) :|: v_1 < 0 eval_subsetdump_1(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb3_in(v_1, v_4, v_7, v_cnum.0, v_cnum.0, v_cnum.2, v_limit, v_rangestart.0)) :|: v_1 > 0 eval_subsetdump_1(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb9_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.0, v_limit, v_rangestart.0)) :|: v_1 >= 0 && v_1 <= 0 eval_subsetdump_bb3_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb4_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: v_cnum.1 < v_limit eval_subsetdump_bb3_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb6_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: v_cnum.1 >= v_limit eval_subsetdump_bb4_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_2(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_2(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_2(eval_random_start(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0), eval_subsetdump_3(v_1, nondef.1, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_3(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb6_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: v_4 < 0 eval_subsetdump_3(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb6_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: v_4 > 0 eval_subsetdump_3(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb5_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: v_4 >= 0 && v_4 <= 0 eval_subsetdump_bb5_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb3_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1 + 1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_bb6_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_6(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_6(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_2(eval_random_start(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0), eval_subsetdump_7(v_1, v_4, nondef.2, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_7(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb7_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_cnum.0)) :|: v_7 < 0 eval_subsetdump_7(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb7_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_cnum.0)) :|: v_7 > 0 eval_subsetdump_7(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb9_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.1, v_limit, v_rangestart.0)) :|: v_7 >= 0 && v_7 <= 0 eval_subsetdump_bb7_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb8_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: v_rangestart.0 < v_cnum.1 eval_subsetdump_bb7_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb9_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.1, v_limit, v_rangestart.0)) :|: v_rangestart.0 >= v_cnum.1 eval_subsetdump_bb8_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb7_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0 + 1)) :|: TRUE eval_subsetdump_bb9_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_bb1_in(v_1, v_4, v_7, v_cnum.2 + 1, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE eval_subsetdump_bb10_in(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0) -> Com_1(eval_subsetdump_stop(v_1, v_4, v_7, v_cnum.0, v_cnum.1, v_cnum.2, v_limit, v_rangestart.0)) :|: TRUE The start-symbols are:[eval_subsetdump_start_8] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 532*ar_1 + 43344*ar_1^2 + 6) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalsubsetdumpstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdumpbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb1in(0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdumpbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_1 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalsubsetdumpbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb10in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalsubsetdumpbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdump0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdump00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdump01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdump1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdump0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_2(evalsubsetdump00(ar_0, ar_1, ar_2, j, ar_4, ar_5, ar_6, ar_7, ar_8), evalsubsetdump01(ar_0, ar_1, ar_2, j, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdump1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb3in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_5, ar_6, ar_7, ar_8)) [ 0 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalsubsetdump1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb3in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_5, ar_6, ar_7, ar_8)) [ ar_2 >= 1 ] (Comp: ?, Cost: 1) evalsubsetdump1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6, ar_7, ar_8)) [ ar_2 = 0 ] (Comp: ?, Cost: 1) evalsubsetdumpbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_1 >= ar_4 + 1 ] (Comp: ?, Cost: 1) evalsubsetdumpbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_4 >= ar_1 ] (Comp: ?, Cost: 1) evalsubsetdumpbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdump2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdump20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdump21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdump3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_3, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdump2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_2(evalsubsetdump20(ar_0, ar_1, ar_2, j, ar_4, ar_5, ar_6, ar_7, ar_8), evalsubsetdump21(ar_0, ar_1, ar_2, j, ar_4, ar_5, ar_6, ar_7, ar_8)) (Comp: ?, Cost: 1) evalsubsetdump3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalsubsetdumpbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 0 >= ar_6 + 1 ]
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