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Complexity_C_Integer 2019-03-21 04.38 pair #429989546
details
property
value
status
complete
benchmark
Loopus2015_original.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
Loopus
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
3.15831 seconds
cpu usage
4.42411
user time
4.09176
system time
0.332349
max virtual memory
1.8531804E7
max residence set size
194016.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
4.31/3.13 WORST_CASE(?, O(n^1)) 4.31/3.14 proof of /export/starexec/sandbox/output/output_files/bench.koat 4.31/3.14 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.31/3.14 4.31/3.14 4.31/3.14 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 4.31/3.14 4.31/3.14 (0) CpxIntTrs 4.31/3.14 (1) Koat Proof [FINISHED, 1887 ms] 4.31/3.14 (2) BOUNDS(1, n^1) 4.31/3.14 4.31/3.14 4.31/3.14 ---------------------------------------- 4.31/3.14 4.31/3.14 (0) 4.31/3.14 Obligation: 4.31/3.14 Complexity Int TRS consisting of the following rules: 4.31/3.14 eval_Loopus2015_original_start(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_bb0_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 4.31/3.14 eval_Loopus2015_original_bb0_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_bb1_in(v_1, v_2, v_4, 0, 0, v_end.1, 0, v_k.0, v_len)) :|: TRUE 4.31/3.14 eval_Loopus2015_original_bb1_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_bb2_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_i.0 < v_len 4.31/3.14 eval_Loopus2015_original_bb1_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_bb5_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_i.0 >= v_len 4.31/3.14 eval_Loopus2015_original_bb2_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_1(v_i.0 + 1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 4.31/3.14 eval_Loopus2015_original_1(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_2(eval_nondet_start(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len), eval_Loopus2015_original_2(v_1, nondef.0, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 4.31/3.14 eval_Loopus2015_original_2(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_3(v_1, v_2, v_4, v_beg.0, v_end.0, v_1, v_i.0, v_k.0, v_len)) :|: v_2 > 0 4.31/3.14 eval_Loopus2015_original_2(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_3(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.0, v_i.0, v_k.0, v_len)) :|: v_2 <= 0 4.31/3.14 eval_Loopus2015_original_3(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_2(eval_nondet_start(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len), eval_Loopus2015_original_4(v_1, v_2, nondef.1, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 4.31/3.14 eval_Loopus2015_original_4(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_bb3_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_beg.0, v_len)) :|: v_4 > 0 4.31/3.14 eval_Loopus2015_original_4(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_bb1_in(v_1, v_2, v_4, v_beg.0, v_end.1, v_end.1, v_1, v_k.0, v_len)) :|: v_4 <= 0 4.31/3.14 eval_Loopus2015_original_bb3_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_bb4_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: v_k.0 < v_end.1 4.31/3.14 eval_Loopus2015_original_bb3_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_bb1_in(v_1, v_2, v_4, v_1, v_1, v_end.1, v_1, v_k.0, v_len)) :|: v_k.0 >= v_end.1 4.31/3.14 eval_Loopus2015_original_bb4_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_bb3_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0 + 1, v_len)) :|: TRUE 4.31/3.14 eval_Loopus2015_original_bb5_in(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len) -> Com_1(eval_Loopus2015_original_stop(v_1, v_2, v_4, v_beg.0, v_end.0, v_end.1, v_i.0, v_k.0, v_len)) :|: TRUE 4.31/3.14 4.31/3.14 The start-symbols are:[eval_Loopus2015_original_start_9] 4.31/3.14 4.31/3.14 4.31/3.14 ---------------------------------------- 4.31/3.14 4.31/3.14 (1) Koat Proof (FINISHED) 4.31/3.14 YES(?, 195*ar_3 + 141) 4.31/3.14 4.31/3.14 4.31/3.14 4.31/3.14 Initial complexity problem: 4.31/3.14 4.31/3.14 1: T: 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015originalstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015originalbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb1in(0, 0, 0, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015originalbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb2in(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 ] 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015originalbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_2 >= ar_3 ] 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015originalbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015original1(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015original2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_2(evalLoopus2015original10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, k, ar_7, ar_8, ar_9), evalLoopus2015original11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, k, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015original3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_4, ar_8, ar_9)) [ ar_5 >= 1 ] 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015original3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_1, ar_8, ar_9)) [ 0 >= ar_5 ] 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015original4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_6, ar_9)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_2(evalLoopus2015original30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, k, ar_7, ar_8, ar_9), evalLoopus2015original31(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, k, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_0)) [ ar_8 >= 1 ] 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015original4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb1in(ar_0, ar_7, ar_4, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ 0 >= ar_8 ] 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015originalbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_7 >= ar_9 + 1 ] 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015originalbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb1in(ar_4, ar_4, ar_4, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ ar_9 >= ar_7 ] 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015originalbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9 + 1)) 4.31/3.14 4.31/3.14 (Comp: ?, Cost: 1) evalLoopus2015originalbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) [ 0 <= 0 ] 4.31/3.14 4.31/3.14 start location: koat_start 4.31/3.14 4.31/3.14 leaf cost: 0 4.31/3.14 4.31/3.14 4.31/3.14 4.31/3.14 Repeatedly propagating knowledge in problem 1 produces the following problem: 4.31/3.14 4.31/3.14 2: T: 4.31/3.14 4.31/3.14 (Comp: 1, Cost: 1) evalLoopus2015originalstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9)) 4.31/3.14 4.31/3.14 (Comp: 1, Cost: 1) evalLoopus2015originalbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9) -> Com_1(evalLoopus2015originalbb1in(0, 0, 0, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9))
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return to Complexity_C_Integer 2019-03-21 04.38