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Compl Integ Trans Syste 26843 pair #381744889
details
property
value
status
complete
benchmark
Loopus2015_ex2.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n049.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
2.91484308243 seconds
cpu usage
7.606277707
max memory
4.93228032E8
stage attributes
key
value
output-size
149750
starexec-result
WORST_CASE(Omega(n^1), O(n^1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 968 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 1205 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_foo_start(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb0_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_bb0_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_0(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_0(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_1(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_1(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_2(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_2(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_3(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_3(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb1_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_n >= 0 eval_foo_3(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb11_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_n < 0 eval_foo_bb1_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb2_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_m1 >= 0 eval_foo_bb1_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb10_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_m1 < 0 eval_foo_bb2_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb3_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_m2 >= 0 eval_foo_bb2_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb9_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_m2 < 0 eval_foo_bb3_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_4(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_4(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_5(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_5(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_6(nondef_0, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_6(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_7(v_3, v_m1, v_m1, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_3 > 0 eval_foo_6(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_7(v_3, v_m1, v_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_3 <= 0 eval_foo_7(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_8(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_8(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_9(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_9(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb4_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_m1_m2, v_n, v_z_0)) :|: TRUE eval_foo_bb4_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb5_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_y_0 > 0 eval_foo_bb4_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb6_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_x_1)) :|: v_y_0 <= 0 eval_foo_bb5_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb4_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1 + 2, v_y_0 - 1, v_z_0)) :|: TRUE eval_foo_bb6_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb7_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_z_0 > 0 eval_foo_bb6_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb8_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: v_z_0 <= 0 eval_foo_bb7_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_bb6_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0 - 1)) :|: TRUE eval_foo_bb8_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_stop(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_bb9_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_15(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_15(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_16(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_16(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_stop(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_bb10_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_17(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_17(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_18(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_18(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_stop(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_bb11_in(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_19(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_19(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_20(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE eval_foo_20(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0) -> Com_1(eval_foo_stop(v_3, v_m1, v_m1_m2, v_m2, v_n, v_x_1, v_y_0, v_z_0)) :|: TRUE The start-symbols are:[eval_foo_start_8] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 34*ar_0 + 30*ar_1 + 30*ar_2 + 3044) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalfoo0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 0 ] (Comp: ?, Cost: 1) evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb11in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 >= 0 ] (Comp: ?, Cost: 1) evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb10in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_1 + 1 ] (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 0 ] (Comp: ?, Cost: 1) evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) (Comp: ?, Cost: 1) evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
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