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Complexity_C_Integer 2019-03-21 04.38 pair #429989558
details
property
value
status
complete
benchmark
CPU2006_Configure.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
6.85516 seconds
cpu usage
8.34182
user time
7.70722
system time
0.634602
max virtual memory
1.8794556E7
max residence set size
442760.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
8.18/6.81 WORST_CASE(?, O(n^1)) 8.28/6.82 proof of /export/starexec/sandbox/output/output_files/bench.koat 8.28/6.82 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.28/6.82 8.28/6.82 8.28/6.82 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 8.28/6.82 8.28/6.82 (0) CpxIntTrs 8.28/6.82 (1) Koat Proof [FINISHED, 5506 ms] 8.28/6.82 (2) BOUNDS(1, n^1) 8.28/6.82 8.28/6.82 8.28/6.82 ---------------------------------------- 8.28/6.82 8.28/6.82 (0) 8.28/6.82 Obligation: 8.28/6.82 Complexity Int TRS consisting of the following rules: 8.28/6.82 eval_Configure_start(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb0_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_bb0_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb1_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_ac >= 3 8.28/6.82 eval_Configure_bb0_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb2_in(v_1, v_11, v_4, v_7, v_9, 1, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_ac < 3 8.28/6.82 eval_Configure_bb1_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_0(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_0(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_2(eval_random_start(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac), eval_Configure_1(nondef.0, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_1(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb2_in(v_1, v_11, v_4, v_7, v_9, 3, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_1 < 0 8.28/6.82 eval_Configure_1(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb2_in(v_1, v_11, v_4, v_7, v_9, 3, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_1 > 0 8.28/6.82 eval_Configure_1(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb2_in(v_1, v_11, v_4, v_7, v_9, 1, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_1 >= 0 && v_1 <= 0 8.28/6.82 eval_Configure_bb2_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb3_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_CLcount.2 < v_ac 8.28/6.82 eval_Configure_bb2_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb11_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_CLcount.2 >= v_ac 8.28/6.82 eval_Configure_bb3_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_3(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_3(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_2(eval_random_start(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac), eval_Configure_4(v_1, v_11, nondef.1, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_4(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb4_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_4 < 0 8.28/6.82 eval_Configure_4(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb4_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_4 > 0 8.28/6.82 eval_Configure_4(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb5_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_4 >= 0 && v_4 <= 0 8.28/6.82 eval_Configure_bb4_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb2_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2 + 2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_bb5_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_7(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_7(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_2(eval_random_start(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac), eval_Configure_8(v_1, v_11, v_4, nondef.2, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_8(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb6_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_7 < 0 8.28/6.82 eval_Configure_8(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb6_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_7 > 0 8.28/6.82 eval_Configure_8(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb11_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_7 >= 0 && v_7 <= 0 8.28/6.82 eval_Configure_bb6_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb7_in(v_1, v_11, v_4, v_7, v_CLcount.2 + 1, v_CLcount.2, v_CLcount.3, v_CLcount.2 + 1, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_bb7_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb8_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_NumberParams.0 < v_ac 8.28/6.82 eval_Configure_bb7_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_.critedge_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_9, v_NumberParams.0, v_ac)) :|: v_NumberParams.0 >= v_ac 8.28/6.82 eval_Configure_bb8_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_11(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_11(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_2(eval_random_start(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac), eval_Configure_12(v_1, nondef.3, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_12(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb9_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_11 < 0 8.28/6.82 eval_Configure_12(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb9_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_11 > 0 8.28/6.82 eval_Configure_12(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_.critedge_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_9, v_NumberParams.0, v_ac)) :|: v_11 >= 0 && v_11 <= 0 8.28/6.82 eval_Configure_bb9_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb7_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0 + 1, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_.critedge_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb10_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_CLcount.3 < v_NumberParams.0 8.28/6.82 eval_Configure_.critedge_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_bb2_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.3, v_CLcount.3, v_NumberParams.0, v_ac)) :|: v_CLcount.3 >= v_NumberParams.0 8.28/6.82 eval_Configure_bb10_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_.critedge_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3 + 1, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 eval_Configure_bb11_in(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac) -> Com_1(eval_Configure_stop(v_1, v_11, v_4, v_7, v_9, v_CLcount.2, v_CLcount.3, v_NumberParams.0, v_ac)) :|: TRUE 8.28/6.82 8.28/6.82 The start-symbols are:[eval_Configure_start_9] 8.28/6.82 8.28/6.82 8.28/6.82 ---------------------------------------- 8.28/6.82 8.28/6.82 (1) Koat Proof (FINISHED) 8.28/6.82 YES(?, 551*ar_0 + 16) 8.28/6.82 8.28/6.82 8.28/6.82 8.28/6.82 Initial complexity problem: 8.28/6.82 8.28/6.82 1: T: 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigurestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigurebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigurebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigurebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_0 >= 3 ] 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigurebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigurebb2in(ar_0, 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ 2 >= ar_0 ] 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigurebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigure0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure00(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure01(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigure1(ar_0, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_2(evalConfigure00(ar_0, ar_1, ar_2, k, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9), evalConfigure01(ar_0, ar_1, ar_2, k, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigurebb2in(ar_0, 3, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ 0 >= ar_2 + 1 ] 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigurebb2in(ar_0, 3, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_2 >= 1 ] 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigurebb2in(ar_0, 1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_2 = 0 ] 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigurebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigurebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_0 >= ar_1 + 1 ] 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigurebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigurebb11in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_1 >= ar_0 ] 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigurebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigure3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigure4(ar_0, ar_1, ar_2, ar_3, ar_3, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_2(evalConfigure30(ar_0, ar_1, ar_2, k, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9), evalConfigure31(ar_0, ar_1, ar_2, k, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 8.28/6.82 8.28/6.82 (Comp: ?, Cost: 1) evalConfigure4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalConfigurebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ 0 >= ar_4 + 1 ] 8.28/6.82
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