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Compl Integ Trans Syste 26843 pair #381744515
details
property
value
status
complete
benchmark
speedSingleSingle.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n022.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
2.06253504753 seconds
cpu usage
4.36508367
max memory
2.74464768E8
stage attributes
key
value
output-size
17016
starexec-result
WORST_CASE(Omega(n^1), O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 8 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 422 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_speedSingleSingle_start(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_bb0_in(v_n, v_x_0)) :|: TRUE eval_speedSingleSingle_bb0_in(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_0(v_n, v_x_0)) :|: TRUE eval_speedSingleSingle_0(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_1(v_n, v_x_0)) :|: TRUE eval_speedSingleSingle_1(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_2(v_n, v_x_0)) :|: TRUE eval_speedSingleSingle_2(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_3(v_n, v_x_0)) :|: TRUE eval_speedSingleSingle_3(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_4(v_n, v_x_0)) :|: TRUE eval_speedSingleSingle_4(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_bb1_in(v_n, 0)) :|: TRUE eval_speedSingleSingle_bb1_in(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_bb2_in(v_n, v_x_0)) :|: v_x_0 < v_n eval_speedSingleSingle_bb1_in(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_bb3_in(v_n, v_x_0)) :|: v_x_0 >= v_n eval_speedSingleSingle_bb2_in(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_5(v_n, v_x_0)) :|: TRUE eval_speedSingleSingle_5(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_6(v_n, v_x_0)) :|: TRUE eval_speedSingleSingle_6(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_bb1_in(v_n, v_x_0 + 1)) :|: TRUE eval_speedSingleSingle_bb3_in(v_n, v_x_0) -> Com_1(eval_speedSingleSingle_stop(v_n, v_x_0)) :|: TRUE The start-symbols are:[eval_speedSingleSingle_start_2] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 4*ar_1 + 15) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalspeedSingleSinglestart(ar_0, ar_1) -> Com_1(evalspeedSingleSinglebb0in(ar_0, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSinglebb0in(ar_0, ar_1) -> Com_1(evalspeedSingleSingle0(ar_0, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSingle0(ar_0, ar_1) -> Com_1(evalspeedSingleSingle1(ar_0, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSingle1(ar_0, ar_1) -> Com_1(evalspeedSingleSingle2(ar_0, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSingle2(ar_0, ar_1) -> Com_1(evalspeedSingleSingle3(ar_0, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSingle3(ar_0, ar_1) -> Com_1(evalspeedSingleSingle4(ar_0, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSingle4(ar_0, ar_1) -> Com_1(evalspeedSingleSinglebb1in(0, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSinglebb1in(ar_0, ar_1) -> Com_1(evalspeedSingleSinglebb2in(ar_0, ar_1)) [ ar_1 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalspeedSingleSinglebb1in(ar_0, ar_1) -> Com_1(evalspeedSingleSinglebb3in(ar_0, ar_1)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) evalspeedSingleSinglebb2in(ar_0, ar_1) -> Com_1(evalspeedSingleSingle5(ar_0, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSingle5(ar_0, ar_1) -> Com_1(evalspeedSingleSingle6(ar_0, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSingle6(ar_0, ar_1) -> Com_1(evalspeedSingleSinglebb1in(ar_0 + 1, ar_1)) (Comp: ?, Cost: 1) evalspeedSingleSinglebb3in(ar_0, ar_1) -> Com_1(evalspeedSingleSinglestop(ar_0, ar_1)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1) -> Com_1(evalspeedSingleSinglestart(ar_0, ar_1)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalspeedSingleSinglestart(ar_0, ar_1) -> Com_1(evalspeedSingleSinglebb0in(ar_0, ar_1)) (Comp: 1, Cost: 1) evalspeedSingleSinglebb0in(ar_0, ar_1) -> Com_1(evalspeedSingleSingle0(ar_0, ar_1)) (Comp: 1, Cost: 1) evalspeedSingleSingle0(ar_0, ar_1) -> Com_1(evalspeedSingleSingle1(ar_0, ar_1)) (Comp: 1, Cost: 1) evalspeedSingleSingle1(ar_0, ar_1) -> Com_1(evalspeedSingleSingle2(ar_0, ar_1)) (Comp: 1, Cost: 1) evalspeedSingleSingle2(ar_0, ar_1) -> Com_1(evalspeedSingleSingle3(ar_0, ar_1))
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