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Compl C Integ Progr 85445 pair #381745854
details
property
value
status
complete
benchmark
terminatorbubble.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n052.star.cs.uiowa.edu
space
WTC_V2
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
2.31643605232 seconds
cpu usage
3.645637691
max memory
3.21851392E8
stage attributes
key
value
output-size
177097
starexec-result
WORST_CASE(?, O(n^2))
output
/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^2)) proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). (0) CpxIntTrs (1) Koat Proof [FINISHED, 1083 ms] (2) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_terminatorbubble_start(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb0_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: TRUE eval_terminatorbubble_bb0_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb1_in(v_11, v_size, v_j.0, v_size, v_t.0)) :|: v_size > 0 eval_terminatorbubble_bb0_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_size <= 0 eval_terminatorbubble_bb1_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_b.0 < 1 eval_terminatorbubble_bb1_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_size <= 0 eval_terminatorbubble_bb1_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb2_in(v_11, v_b.0, 1, v_size, 0)) :|: v_b.0 >= 1 && v_size > 0 eval_terminatorbubble_bb2_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb3_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_j.0 <= v_b.0 - 1 eval_terminatorbubble_bb2_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb6_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_j.0 > v_b.0 - 1 eval_terminatorbubble_bb3_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_j.0 < 1 eval_terminatorbubble_bb3_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_j.0 > v_size eval_terminatorbubble_bb3_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb4_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_j.0 >= 1 && v_j.0 <= v_size eval_terminatorbubble_bb4_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_j.0 + 1 < 1 eval_terminatorbubble_bb4_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_j.0 + 1 > v_size eval_terminatorbubble_bb4_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb5_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_j.0 + 1 >= 1 && v_j.0 + 1 <= v_size eval_terminatorbubble_bb5_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_5(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: TRUE eval_terminatorbubble_5(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_2(eval_nondet_start(v_11, v_b.0, v_j.0, v_size, v_t.0), eval_terminatorbubble_6(nondef.0, v_b.0, v_j.0, v_size, v_t.0)) :|: TRUE eval_terminatorbubble_6(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb2_in(v_11, v_b.0, v_j.0 + 1, v_size, v_j.0)) :|: v_11 > 0 eval_terminatorbubble_6(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb2_in(v_11, v_b.0, v_j.0 + 1, v_size, v_t.0)) :|: v_11 <= 0 eval_terminatorbubble_bb6_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: 1 > v_t.0 eval_terminatorbubble_bb6_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: v_t.0 >= v_b.0 eval_terminatorbubble_bb6_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_bb1_in(v_11, v_t.0, v_j.0, v_size, v_t.0)) :|: 1 <= v_t.0 && v_t.0 < v_b.0 eval_terminatorbubble_bb7_in(v_11, v_b.0, v_j.0, v_size, v_t.0) -> Com_1(eval_terminatorbubble_stop(v_11, v_b.0, v_j.0, v_size, v_t.0)) :|: TRUE The start-symbols are:[eval_terminatorbubble_start_5] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 738*ar_0 + 432*ar_0^2 + 307) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ] (Comp: ?, Cost: 1) evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ] (Comp: ?, Cost: 1) evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4, ar_5)) [ ar_1 >= 1 /\ ar_0 >= 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_2 ] (Comp: ?, Cost: 1) evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ] (Comp: ?, Cost: 1) evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 ] (Comp: ?, Cost: 1) evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalterminatorbubble50(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) (Comp: ?, Cost: 1) evalterminatorbubble51(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubble6(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5)) (Comp: ?, Cost: 1) evalterminatorbubble5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalterminatorbubble50(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalterminatorbubble51(ar_0, ar_1, ar_2, ar_3, ar_4, g)) (Comp: ?, Cost: 1) evalterminatorbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4, ar_5)) [ ar_4 >= 1 ] (Comp: ?, Cost: 1) evalterminatorbubble6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ 0 >= ar_4 ]
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