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Compl C Integ Progr 85445 pair #381745809
details
property
value
status
complete
benchmark
cBench_encode_mcu_AC_refine.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
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
3.83468604088 seconds
cpu usage
5.26698223
max memory
4.5807616E8
stage attributes
key
value
output-size
149212
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).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, 2592 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_encode_mcu_AC_refine_start(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb0_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: TRUE eval_encode_mcu_AC_refine_bb0_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb1_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_cinfo_Ss, v_k.1, v_r.0, v_r.1, v_r.2)) :|: TRUE eval_encode_mcu_AC_refine_bb1_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb2_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: v_k.0 <= v_cinfo_Se eval_encode_mcu_AC_refine_bb1_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb3_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_cinfo_Ss, 0, v_r.1, v_r.2)) :|: v_k.0 > v_cinfo_Se eval_encode_mcu_AC_refine_bb2_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb1_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0 + 1, v_k.1, v_r.0, v_r.1, v_r.2)) :|: TRUE eval_encode_mcu_AC_refine_bb3_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb4_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: v_k.1 <= v_cinfo_Se eval_encode_mcu_AC_refine_bb3_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb9_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: v_k.1 > v_cinfo_Se eval_encode_mcu_AC_refine_bb4_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_2(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: TRUE eval_encode_mcu_AC_refine_2(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_2(eval_random_start(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2), eval_encode_mcu_AC_refine_3(nondef.0, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: TRUE eval_encode_mcu_AC_refine_3(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb5_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: v_3 < 0 eval_encode_mcu_AC_refine_3(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb5_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: v_3 > 0 eval_encode_mcu_AC_refine_3(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb6_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.0, v_r.2)) :|: v_3 >= 0 && v_3 <= 0 eval_encode_mcu_AC_refine_bb5_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_.critedge_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.0 + 1)) :|: TRUE eval_encode_mcu_AC_refine_bb6_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb7_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: v_r.1 > 15 eval_encode_mcu_AC_refine_bb6_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_.critedge_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, 0)) :|: v_r.1 <= 15 eval_encode_mcu_AC_refine_bb7_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_6(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: TRUE eval_encode_mcu_AC_refine_6(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_2(eval_random_start(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2), eval_encode_mcu_AC_refine_7(v_3, nondef.1, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: TRUE eval_encode_mcu_AC_refine_7(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb8_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: v_7 < 0 eval_encode_mcu_AC_refine_7(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb8_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: v_7 > 0 eval_encode_mcu_AC_refine_7(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_.critedge_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, 0)) :|: v_7 >= 0 && v_7 <= 0 eval_encode_mcu_AC_refine_bb8_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb6_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1 - 16, v_r.2)) :|: TRUE eval_encode_mcu_AC_refine_.critedge_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_bb3_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1 + 1, v_r.2, v_r.1, v_r.2)) :|: TRUE eval_encode_mcu_AC_refine_bb9_in(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2) -> Com_1(eval_encode_mcu_AC_refine_stop(v_3, v_7, v_cinfo_Se, v_cinfo_Ss, v_k.0, v_k.1, v_r.0, v_r.1, v_r.2)) :|: TRUE The start-symbols are:[eval_encode_mcu_AC_refine_start_9] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 242*ar_1 + 242*ar_2 + 253) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalencodemcuACrefinestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) (Comp: ?, Cost: 1) evalencodemcuACrefinebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) (Comp: ?, Cost: 1) evalencodemcuACrefinebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_2 >= ar_0 ] (Comp: ?, Cost: 1) evalencodemcuACrefinebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb3in(ar_0, ar_1, ar_2, ar_1, 0, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_0 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalencodemcuACrefinebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) (Comp: ?, Cost: 1) evalencodemcuACrefinebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_2 >= ar_3 ] (Comp: ?, Cost: 1) evalencodemcuACrefinebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_3 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalencodemcuACrefinebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefine2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) (Comp: ?, Cost: 1) evalencodemcuACrefine20(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)) (Comp: ?, Cost: 1) evalencodemcuACrefine21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefine3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6, ar_7, ar_8, ar_9)) (Comp: ?, Cost: 1) evalencodemcuACrefine2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_2(evalencodemcuACrefine20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, k, ar_7, ar_8, ar_9), evalencodemcuACrefine21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, k, ar_7, ar_8, ar_9)) (Comp: ?, Cost: 1) evalencodemcuACrefine3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ 0 >= ar_5 + 1 ] (Comp: ?, Cost: 1) evalencodemcuACrefine3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_5 >= 1 ] (Comp: ?, Cost: 1) evalencodemcuACrefine3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_4, ar_8, ar_9)) [ ar_5 = 0 ] (Comp: ?, Cost: 1) evalencodemcuACrefinebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinecritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_4 + 1, ar_9)) (Comp: ?, Cost: 1) evalencodemcuACrefinebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_7 >= 16 ] (Comp: ?, Cost: 1) evalencodemcuACrefinebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinecritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, 0, ar_9)) [ 15 >= ar_7 ] (Comp: ?, Cost: 1) evalencodemcuACrefinebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefine6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) (Comp: ?, Cost: 1) evalencodemcuACrefine60(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)) (Comp: ?, Cost: 1) evalencodemcuACrefine61(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefine7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_6))
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