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Complexity_C_Integer 2019-03-21 04.38 pair #429989662
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
n124.star.cs.uiowa.edu
space
WTC_V2
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
2.42615 seconds
cpu usage
3.74427
user time
3.46778
system time
0.276484
max virtual memory
1.8479808E7
max residence set size
189716.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^2))
output
3.53/2.38 WORST_CASE(?, O(n^2)) 3.68/2.39 proof of /export/starexec/sandbox/output/output_files/bench.koat 3.68/2.39 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.68/2.39 3.68/2.39 3.68/2.39 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 3.68/2.39 3.68/2.39 (0) CpxIntTrs 3.68/2.39 (1) Koat Proof [FINISHED, 1182 ms] 3.68/2.39 (2) BOUNDS(1, n^2) 3.68/2.39 3.68/2.39 3.68/2.39 ---------------------------------------- 3.68/2.39 3.68/2.39 (0) 3.68/2.39 Obligation: 3.68/2.39 Complexity Int TRS consisting of the following rules: 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 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 3.68/2.39 3.68/2.39 The start-symbols are:[eval_terminatorbubble_start_5] 3.68/2.39 3.68/2.39 3.68/2.39 ---------------------------------------- 3.68/2.39 3.68/2.39 (1) Koat Proof (FINISHED) 3.68/2.39 YES(?, 1062*ar_0 + 432*ar_0^2 + 523) 3.68/2.39 3.68/2.39 3.68/2.39 3.68/2.39 Initial complexity problem: 3.68/2.39 3.68/2.39 1: T: 3.68/2.39 3.68/2.39 (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)) 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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)) 3.68/2.39 3.68/2.39 (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)) 3.68/2.39 3.68/2.39 (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)) 3.68/2.39 3.68/2.39 (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)) 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (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 ] 3.68/2.39 3.68/2.39 (Comp: ?, Cost: 1) evalterminatorbubblebb6in(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_3 ] 3.68/2.39 3.68/2.39 (Comp: ?, Cost: 1) evalterminatorbubblebb6in(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_3 >= ar_1 ] 3.68/2.39 3.68/2.39 (Comp: ?, Cost: 1) evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ] 3.68/2.39
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