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Complexity_C_Integer 2019-03-21 04.38 pair #429989570
details
property
value
status
complete
benchmark
cBench_inflated_stored.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
10.0658 seconds
cpu usage
11.5179
user time
11.0245
system time
0.493427
max virtual memory
1.8720588E7
max residence set size
287112.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^2))
output
11.28/9.98 WORST_CASE(?, O(n^2)) 11.28/9.99 proof of /export/starexec/sandbox/output/output_files/bench.koat 11.28/9.99 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.28/9.99 11.28/9.99 11.28/9.99 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 11.28/9.99 11.28/9.99 (0) CpxIntTrs 11.28/9.99 (1) Koat Proof [FINISHED, 8713 ms] 11.28/9.99 (2) BOUNDS(1, n^2) 11.28/9.99 11.28/9.99 11.28/9.99 ---------------------------------------- 11.28/9.99 11.28/9.99 (0) 11.28/9.99 Obligation: 11.28/9.99 Complexity Int TRS consisting of the following rules: 11.28/9.99 eval_inflate_stored_start(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb0_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_bb0_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb1_in(v_.0, v_k - v_n, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_bb1_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb2_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_.01 < 16 11.28/9.99 eval_inflate_stored_bb1_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb3_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_.01 >= 16 11.28/9.99 eval_inflate_stored_bb2_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb1_in(v_.0, v_.01 + 8, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_bb3_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb4_in(v_.0, v_.01, v_.01 - 16, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_bb4_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb5_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_.1 < 16 11.28/9.99 eval_inflate_stored_bb4_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb6_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_.1 >= 16 11.28/9.99 eval_inflate_stored_bb5_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb4_in(v_.0, v_.01, v_.1 + 8, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_bb6_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_8(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_8(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_2(eval_random_start(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n), eval_inflate_stored_9(v_.0, v_.01, v_.1, v_.2, v_.3, nondef.0, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_9(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb12_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_6 < 0 11.28/9.99 eval_inflate_stored_9(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb12_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_6 > 0 11.28/9.99 eval_inflate_stored_9(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb7_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_6 >= 0 && v_6 <= 0 11.28/9.99 eval_inflate_stored_bb7_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb8_in(v_n, v_.01, v_.1, v_.1 - 16, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_bb8_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb9_in(v_.0, v_.01, v_.1, v_.2, v_.2, v_6, v_.0 - 1, v_k, v_limit, v_n)) :|: v_.0 > 0 11.28/9.99 eval_inflate_stored_bb8_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb12_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_.0 <= 0 11.28/9.99 eval_inflate_stored_bb9_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb10_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_.3 < v_limit 11.28/9.99 eval_inflate_stored_bb9_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb11_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: v_.3 >= v_limit 11.28/9.99 eval_inflate_stored_bb10_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb9_in(v_.0, v_.01, v_.1, v_.2, v_.3 + 8, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_bb11_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_bb8_in(v_9, v_.01, v_.1, v_.3 - 8, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 eval_inflate_stored_bb12_in(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n) -> Com_1(eval_inflate_stored_stop(v_.0, v_.01, v_.1, v_.2, v_.3, v_6, v_9, v_k, v_limit, v_n)) :|: TRUE 11.28/9.99 11.28/9.99 The start-symbols are:[eval_inflate_stored_start_10] 11.28/9.99 11.28/9.99 11.28/9.99 ---------------------------------------- 11.28/9.99 11.28/9.99 (1) Koat Proof (FINISHED) 11.28/9.99 YES(?, 1399*ar_2 + 22*ar_1*ar_2 + 220*ar_2^2 + 22*ar_10*ar_2 + 200*ar_1 + 18479495) 11.28/9.99 11.28/9.99 11.28/9.99 11.28/9.99 Initial complexity problem: 11.28/9.99 11.28/9.99 1: T: 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb1in(ar_1 - ar_2, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 15 >= ar_0 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_0 >= 16 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb1in(ar_0 + 8, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb4in(ar_0, ar_1, ar_2, ar_0 - 16, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 15 >= ar_3 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_3 >= 16 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb4in(ar_0, ar_1, ar_2, ar_3 + 8, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestored8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestored80(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestored81(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestored9(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestored8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalinflatestored80(ar_0, ar_1, ar_2, ar_3, ar_4, l, ar_6, ar_7, ar_8, ar_9, ar_10), evalinflatestored81(ar_0, ar_1, ar_2, ar_3, ar_4, l, ar_6, ar_7, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestored9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb12in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 0 >= ar_4 + 1 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestored9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb12in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_4 >= 1 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestored9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_4 = 0 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_2, ar_3 - 16, ar_8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_7, ar_6 - 1, ar_10)) [ ar_6 >= 1 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb12in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 0 >= ar_6 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb10in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_10 >= ar_8 + 1 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb11in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_8 >= ar_10 ] 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb10in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb9in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8 + 8, ar_9, ar_10)) 11.28/9.99 11.28/9.99 (Comp: ?, Cost: 1) evalinflatestoredbb11in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalinflatestoredbb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_9, ar_8 - 8, ar_8, ar_9, ar_10)) 11.28/9.99
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return to Complexity_C_Integer 2019-03-21 04.38