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Compl C Integ Progr 85445 pair #381745591
details
property
value
status
complete
benchmark
ex_paper3.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n028.star.cs.uiowa.edu
space
Other
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
5.48355698586 seconds
cpu usage
6.829708869
max memory
4.59767808E8
stage attributes
key
value
output-size
287342
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).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, 4201 ms] (2) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_exp_paper3_start(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb0_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_bb0_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb1_in(v_x, v_y, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_bb1_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb2_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: v_.0 > 0 eval_exp_paper3_bb1_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb7_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: v_.0 <= 0 eval_exp_paper3_bb2_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_0(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_0(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z), eval_exp_paper3_1(v_.0, v_.01, v_.1, v_.3, nondef.0, v_3, v_8, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_1(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb3_in(v_.0, v_.01, v_.01, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: v_1 > 0 eval_exp_paper3_1(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb5_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: v_1 <= 0 eval_exp_paper3_bb3_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_2(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_2(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z), eval_exp_paper3_3(v_.0, v_.01, v_.1, v_.3, v_1, nondef.1, v_8, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_3(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb4_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: v_3 > 0 && v_.1 > 0 eval_exp_paper3_3(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb6_in(v_.0, v_.01, v_.1, v_.1, v_1, v_3, v_8, v_x, v_y, v_z)) :|: v_3 <= 0 eval_exp_paper3_3(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb6_in(v_.0, v_.01, v_.1, v_.1, v_1, v_3, v_8, v_x, v_y, v_z)) :|: v_.1 <= 0 eval_exp_paper3_bb4_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb3_in(v_.0, v_.01, v_.1 - 1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_bb5_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_6(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_6(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z), eval_exp_paper3_7(v_.0, v_.01, v_.1, v_.3, v_1, v_3, nondef.2, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_7(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb6_in(v_.0, v_.01, v_.1, v_.01 + 1, v_1, v_3, v_8, v_x, v_y, v_z)) :|: v_8 > 0 eval_exp_paper3_7(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb6_in(v_.0, v_.01, v_.1, v_z, v_1, v_3, v_8, v_x, v_y, v_z)) :|: v_8 <= 0 eval_exp_paper3_bb6_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_bb1_in(v_.0 - 1, v_.3, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: TRUE eval_exp_paper3_bb7_in(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z) -> Com_1(eval_exp_paper3_stop(v_.0, v_.01, v_.1, v_.3, v_1, v_3, v_8, v_x, v_y, v_z)) :|: TRUE The start-symbols are:[eval_exp_paper3_start_10] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 2808*ar_1^2 + 2808*ar_1*ar_3 + 2808*ar_1*ar_10 + 404418*ar_1 + 2574*ar_3 + 2574*ar_10 + 368363) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalexppaper3start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_0 >= 1 ] (Comp: ?, Cost: 1) evalexppaper3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 0 >= ar_0 ] (Comp: ?, Cost: 1) evalexppaper3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper300(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> 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)) (Comp: ?, Cost: 1) evalexppaper301(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper31(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalexppaper300(ar_0, ar_1, ar_2, ar_3, ar_4, l, ar_6, ar_7, ar_8, ar_9, ar_10), evalexppaper301(ar_0, ar_1, ar_2, ar_3, ar_4, l, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2, ar_7, ar_8, ar_9, ar_10)) [ ar_4 >= 1 ] (Comp: ?, Cost: 1) evalexppaper31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 0 >= ar_4 ] (Comp: ?, Cost: 1) evalexppaper3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper320(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> 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)) (Comp: ?, Cost: 1) evalexppaper321(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper33(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalexppaper320(ar_0, ar_1, ar_2, ar_3, ar_4, l, ar_6, ar_7, ar_8, ar_9, ar_10), evalexppaper321(ar_0, ar_1, ar_2, ar_3, ar_4, l, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper33(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_7 >= 1 /\ ar_6 >= 1 ] (Comp: ?, Cost: 1) evalexppaper33(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_6, ar_9, ar_10)) [ 0 >= ar_7 ] (Comp: ?, Cost: 1) evalexppaper33(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_6, ar_9, ar_10)) [ 0 >= ar_6 ] (Comp: ?, Cost: 1) evalexppaper3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper36(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalexppaper360(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> 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)) (Comp: ?, Cost: 1) evalexppaper361(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalexppaper37(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_5, ar_10))
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