details

property	value
status	complete
benchmark	Loopus2014_ex2.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n036.star.cs.uiowa.edu
space	Loopus

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	2.52987599373 seconds
cpu usage	3.55096499
max memory	3.443712E8

stage attributes

key	value
output-size	60211
starexec-result	WORST_CASE(?, O(n^1))

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^1)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 1384 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_Loopus2014_ex2_start(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb0_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE eval_Loopus2014_ex2_bb0_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_m, v_m, 0, v_n.1)) :|: TRUE eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb1_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_i.0 > 0 eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb6_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_i.0 <= 0 eval_Loopus2014_ex2_bb1_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_1(v_i.0 - 1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE eval_Loopus2014_ex2_1(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_2(eval_nondet_start(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1), eval_Loopus2014_ex2_2(v_1, nondef.0, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE eval_Loopus2014_ex2_2(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb2_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_2 > 0 eval_Loopus2014_ex2_2(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb3_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.0)) :|: v_2 <= 0 eval_Loopus2014_ex2_bb2_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_1, v_m, v_n.0 + 1, v_n.1)) :|: TRUE eval_Loopus2014_ex2_bb3_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb4_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_n.1 > 0 eval_Loopus2014_ex2_bb3_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_1, v_m, v_n.1, v_n.1)) :|: v_n.1 <= 0 eval_Loopus2014_ex2_bb4_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_5(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE eval_Loopus2014_ex2_5(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_2(eval_nondet_start(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1), eval_Loopus2014_ex2_6(v_1, v_2, nondef.1, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE eval_Loopus2014_ex2_6(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb5_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: v_6 > 0 eval_Loopus2014_ex2_6(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_.critedge_in(v_1, v_2, v_6, v_1, v_m, v_n.1, v_n.1)) :|: v_6 <= 0 eval_Loopus2014_ex2_bb5_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_bb3_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1 - 1)) :|: TRUE eval_Loopus2014_ex2_bb6_in(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1) -> Com_1(eval_Loopus2014_ex2_stop(v_1, v_2, v_6, v_i.0, v_m, v_n.0, v_n.1)) :|: TRUE The start-symbols are:[eval_Loopus2014_ex2_start_7] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 238*ar_1 + 6) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_1, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2014ex2critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_0 ] (Comp: ?, Cost: 1) evalLoopus2014ex2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex210(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex211(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2014ex22(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2, ar_7)) [ 0 >= ar_4 ] (Comp: ?, Cost: 1) evalLoopus2014ex2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] (Comp: ?, Cost: 1) evalLoopus2014ex2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) (Comp: ?, Cost: 1) evalLoopus2014ex25(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalLoopus2014ex250(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalLoopus2014ex251(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= 1 ] (Comp: ?, Cost: 1) evalLoopus2014ex26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2critedgein(ar_3, ar_1, ar_6, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_7 ] (Comp: ?, Cost: 1) evalLoopus2014ex2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1, ar_7)) (Comp: ?, Cost: 1) evalLoopus2014ex2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalLoopus2014ex2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] start location: koat_start popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Compl C Integ Progr 85445