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Complexity_C_Integer 2019-03-21 04.38 pair #429989598
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
n055.star.cs.uiowa.edu
space
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
4.91236 seconds
cpu usage
5.35181
user time
4.93921
system time
0.412599
max virtual memory
1.8624856E7
max residence set size
280448.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
5.22/4.86 WORST_CASE(?, O(n^1)) 5.22/4.88 proof of /export/starexec/sandbox/output/output_files/bench.koat 5.22/4.88 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.22/4.88 5.22/4.88 5.22/4.88 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 5.22/4.88 5.22/4.88 (0) CpxIntTrs 5.22/4.88 (1) Koat Proof [FINISHED, 2784 ms] 5.22/4.88 (2) BOUNDS(1, n^1) 5.22/4.88 5.22/4.88 5.22/4.88 ---------------------------------------- 5.22/4.88 5.22/4.88 (0) 5.22/4.88 Obligation: 5.22/4.88 Complexity Int TRS consisting of the following rules: 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 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 5.22/4.88 5.22/4.88 The start-symbols are:[eval_encode_mcu_AC_refine_start_9] 5.22/4.88 5.22/4.88 5.22/4.88 ---------------------------------------- 5.22/4.88 5.22/4.88 (1) Koat Proof (FINISHED) 5.22/4.88 YES(?, 222*ar_1 + 222*ar_2 + 193) 5.22/4.88 5.22/4.88 5.22/4.88 5.22/4.88 Initial complexity problem: 5.22/4.88 5.22/4.88 1: T: 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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 ] 5.22/4.88 5.22/4.88 (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 ] 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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 ] 5.22/4.88 5.22/4.88 (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 ] 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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 ] 5.22/4.88 5.22/4.88 (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 ] 5.22/4.88 5.22/4.88 (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 ] 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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 ] 5.22/4.88 5.22/4.88 (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 ] 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (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)) 5.22/4.88 5.22/4.88 (Comp: ?, Cost: 1) evalencodemcuACrefine6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_2(evalencodemcuACrefine60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, k, ar_7, ar_8, ar_9), evalencodemcuACrefine61(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, k, ar_7, ar_8, ar_9)) 5.22/4.88 5.22/4.88 (Comp: ?, Cost: 1) evalencodemcuACrefine7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ 0 >= ar_9 + 1 ] 5.22/4.88 5.22/4.88 (Comp: ?, Cost: 1) evalencodemcuACrefine7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalencodemcuACrefinebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_9 >= 1 ]
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