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Complexity_C_Integer 2019-03-21 04.38 pair #429989580
details
property
value
status
complete
benchmark
CPU2006_asctoeg.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n111.star.cs.uiowa.edu
space
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
3.1237 seconds
cpu usage
4.34941
user time
3.9731
system time
0.37631
max virtual memory
1.855554E7
max residence set size
223700.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^2))
output
4.14/3.07 WORST_CASE(?, O(n^2)) 4.28/3.08 proof of /export/starexec/sandbox/output/output_files/bench.koat 4.28/3.08 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.28/3.08 4.28/3.08 4.28/3.08 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 4.28/3.08 4.28/3.08 (0) CpxIntTrs 4.28/3.08 (1) Koat Proof [FINISHED, 1871 ms] 4.28/3.08 (2) BOUNDS(1, n^2) 4.28/3.08 4.28/3.08 4.28/3.08 ---------------------------------------- 4.28/3.08 4.28/3.08 (0) 4.28/3.08 Obligation: 4.28/3.08 Complexity Int TRS consisting of the following rules: 4.28/3.08 eval_asctoeg_start(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb0_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: TRUE 4.28/3.08 eval_asctoeg_bb0_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb1_in(v_2, v_7, v_s, v_s, v_sp.0, v_sp.1)) :|: TRUE 4.28/3.08 eval_asctoeg_bb1_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb2_in(v_2, v_7, v_k.0, v_s, 0, v_sp.1)) :|: v_k.0 > 0 4.28/3.08 eval_asctoeg_bb1_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb8_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_k.0 <= 0 4.28/3.08 eval_asctoeg_bb2_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb3_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_sp.0 < v_s 4.28/3.08 eval_asctoeg_bb2_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_.critedge_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_sp.0 >= v_s 4.28/3.08 eval_asctoeg_bb3_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_0(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: TRUE 4.28/3.08 eval_asctoeg_0(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_2(eval_random_start(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1), eval_asctoeg_1(nondef.0, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: TRUE 4.28/3.08 eval_asctoeg_1(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb4_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_2 < 0 4.28/3.08 eval_asctoeg_1(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb4_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_2 > 0 4.28/3.08 eval_asctoeg_1(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_.critedge_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_2 >= 0 && v_2 <= 0 4.28/3.08 eval_asctoeg_bb4_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb2_in(v_2, v_7, v_k.0, v_s, v_sp.0 + 1, v_sp.1)) :|: TRUE 4.28/3.08 eval_asctoeg_.critedge_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb5_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.0 - 1)) :|: TRUE 4.28/3.08 eval_asctoeg_bb5_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb6_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_sp.1 > 0 4.28/3.08 eval_asctoeg_bb5_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_.critedge1_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_sp.1 <= 0 4.28/3.08 eval_asctoeg_bb6_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_6(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: TRUE 4.28/3.08 eval_asctoeg_6(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_2(eval_random_start(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1), eval_asctoeg_7(v_2, nondef.1, v_k.0, v_s, v_sp.0, v_sp.1)) :|: TRUE 4.28/3.08 eval_asctoeg_7(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb7_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_7 < 0 4.28/3.08 eval_asctoeg_7(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb7_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_7 > 0 4.28/3.08 eval_asctoeg_7(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_.critedge1_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: v_7 >= 0 && v_7 <= 0 4.28/3.08 eval_asctoeg_bb7_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb5_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1 - 1)) :|: TRUE 4.28/3.08 eval_asctoeg_.critedge1_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_bb1_in(v_2, v_7, v_k.0 - 1, v_s, v_sp.0, v_sp.1)) :|: TRUE 4.28/3.08 eval_asctoeg_bb8_in(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1) -> Com_1(eval_asctoeg_stop(v_2, v_7, v_k.0, v_s, v_sp.0, v_sp.1)) :|: TRUE 4.28/3.08 4.28/3.08 The start-symbols are:[eval_asctoeg_start_6] 4.28/3.08 4.28/3.08 4.28/3.08 ---------------------------------------- 4.28/3.08 4.28/3.08 (1) Koat Proof (FINISHED) 4.28/3.08 YES(?, 979*ar_1 + 1120*ar_1^2 + 157) 4.28/3.08 4.28/3.08 4.28/3.08 4.28/3.08 Initial complexity problem: 4.28/3.08 4.28/3.08 1: T: 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb2in(ar_0, ar_1, 0, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= 1 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_0 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 >= ar_2 + 1 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_1 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoeg0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoeg1(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalasctoeg00(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6), evalasctoeg01(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_3 + 1 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= 1 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 = 0 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegcritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2 - 1, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= 1 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegcritedge1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_5 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoegbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoeg6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg61(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoeg7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_4)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalasctoeg60(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6), evalasctoeg61(ar_0, ar_1, ar_2, ar_3, h, ar_5, ar_6)) 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_6 + 1 ] 4.28/3.08 4.28/3.08 (Comp: ?, Cost: 1) evalasctoeg7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalasctoegbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_6 >= 1 ]
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