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Compl C Integ Progr 85445 pair #381745737
details
property
value
status
complete
benchmark
t62.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n103.star.cs.uiowa.edu
space
C4B_examples
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
3.70383381844 seconds
cpu usage
5.15777428
max memory
4.07392256E8
stage attributes
key
value
output-size
266307
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).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, 2397 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_t62_start(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb0_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE eval_t62_bb0_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb5_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_l >= v_h eval_t62_bb0_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb1_in(v_l, v_h, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_l < v_h eval_t62_bb1_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb2_in(v_.0, v_.01, v_.0, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE eval_t62_bb2_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb3_in(v_.0, v_.01, v_.1, v_.12, v_.1 + 1, v_3, v_5, v_7, v_h, v_l)) :|: v_.1 + 1 < v_.01 eval_t62_bb2_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_.01, v_.1 + 1, v_3, v_5, v_7, v_h, v_l)) :|: v_.1 + 1 >= v_.01 eval_t62_bb3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_2(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE eval_t62_2(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l), eval_t62_3(v_.0, v_.01, v_.1, v_.12, v_1, nondef.0, v_5, v_7, v_h, v_l)) :|: TRUE eval_t62_3(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb2_in(v_.0, v_.01, v_1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_3 > 0 eval_t62_3(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_.01, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_3 <= 0 eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb4_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_.12 - 1, v_7, v_h, v_l)) :|: v_1 < v_.12 - 1 eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_.12 - 1, v_7, v_h, v_l)) :|: v_1 >= v_.12 - 1 eval_t62_bb4_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_6(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE eval_t62_6(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l), eval_t62_7(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, nondef.1, v_h, v_l)) :|: TRUE eval_t62_7(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge_in(v_.0, v_.01, v_.1, v_5, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_7 > 0 eval_t62_7(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_.critedge3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_7 <= 0 eval_t62_.critedge3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb5_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 >= v_5 eval_t62_.critedge3_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_bb1_in(v_1, v_5, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: v_1 < v_5 eval_t62_bb5_in(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l) -> Com_1(eval_t62_stop(v_.0, v_.01, v_.1, v_.12, v_1, v_3, v_5, v_7, v_h, v_l)) :|: TRUE The start-symbols are:[eval_t62_start_10] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 234*ar_0 + 234*ar_1 + 61) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalt62start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalt62bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalt62bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb1in(ar_0, ar_1, ar_0, ar_1, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_1 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalt62bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb2in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalt62bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4 + 1, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_3 >= ar_4 + 2 ] (Comp: ?, Cost: 1) evalt62bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4 + 1, ar_3, ar_7, ar_8, ar_9, ar_10)) [ ar_4 + 1 >= ar_3 ] (Comp: ?, Cost: 1) evalt62bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt622(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalt6220(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalt6221(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt623(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_8, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalt622(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalt6220(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10), evalt6221(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10)) (Comp: ?, Cost: 1) evalt623(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb2in(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_7 >= 1 ] (Comp: ?, Cost: 1) evalt623(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_3, ar_7, ar_8, ar_9, ar_10)) [ 0 >= ar_7 ] (Comp: ?, Cost: 1) evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_6 - 1, ar_10)) [ ar_6 >= ar_5 + 2 ] (Comp: ?, Cost: 1) evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedge3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_6 - 1, ar_10)) [ ar_5 + 1 >= ar_6 ] (Comp: ?, Cost: 1) evalt62bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt626(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalt6260(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) evalt6261(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt627(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_8)) (Comp: ?, Cost: 1) evalt626(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_2(evalt6260(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10), evalt6261(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10)) (Comp: ?, Cost: 1) evalt627(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_9, ar_7, ar_8, ar_9, ar_10)) [ ar_10 >= 1 ] (Comp: ?, Cost: 1) evalt627(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62critedge3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 0 >= ar_10 ] (Comp: ?, Cost: 1) evalt62critedge3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_5 >= ar_9 ] (Comp: ?, Cost: 1) evalt62critedge3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(evalt62bb1in(ar_0, ar_1, ar_5, ar_9, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_9 >= ar_5 + 1 ]
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