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Complexity_C_Integer 2019-03-21 04.38 pair #429989596
details
property
value
status
complete
benchmark
cBench_sendMTFValues.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
10.2397 seconds
cpu usage
11.7098
user time
10.9754
system time
0.734467
max virtual memory
1.870926E7
max residence set size
271456.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^2))
output
11.54/10.17 WORST_CASE(?, O(n^2)) 11.54/10.18 proof of /export/starexec/sandbox/output/output_files/bench.koat 11.54/10.18 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.54/10.18 11.54/10.18 11.54/10.18 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 11.54/10.18 11.54/10.18 (0) CpxIntTrs 11.54/10.18 (1) Koat Proof [FINISHED, 8915 ms] 11.54/10.18 (2) BOUNDS(1, n^2) 11.54/10.18 11.54/10.18 11.54/10.18 ---------------------------------------- 11.54/10.18 11.54/10.18 (0) 11.54/10.18 Obligation: 11.54/10.18 Complexity Int TRS consisting of the following rules: 11.54/10.18 eval_sendMTFValues_start(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb0_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: TRUE 11.54/10.18 eval_sendMTFValues_bb0_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb1_in(v_2, v_alphaSize, v_ge.0, v_ge.1, 0, v_nGroups, v_nGroups)) :|: TRUE 11.54/10.18 eval_sendMTFValues_bb1_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb2_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nPart.0 > 0 11.54/10.18 eval_sendMTFValues_bb1_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb8_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nPart.0 <= 0 11.54/10.18 eval_sendMTFValues_bb2_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb3_in(v_2, v_alphaSize, v_gs.0 - 1, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: TRUE 11.54/10.18 eval_sendMTFValues_bb3_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_2(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: TRUE 11.54/10.18 eval_sendMTFValues_2(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_2(eval_random_start(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0), eval_sendMTFValues_3(nondef.0, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: TRUE 11.54/10.18 eval_sendMTFValues_3(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb4_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_2 < 0 11.54/10.18 eval_sendMTFValues_3(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb4_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_2 > 0 11.54/10.18 eval_sendMTFValues_3(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_.critedge_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_2 >= 0 && v_2 <= 0 11.54/10.18 eval_sendMTFValues_bb4_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb5_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_ge.0 < v_alphaSize - 1 11.54/10.18 eval_sendMTFValues_bb4_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_.critedge_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_ge.0 >= v_alphaSize - 1 11.54/10.18 eval_sendMTFValues_bb5_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb3_in(v_2, v_alphaSize, v_ge.0 + 1, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: TRUE 11.54/10.18 eval_sendMTFValues_.critedge_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_ge.0 > v_gs.0 && v_nPart.0 < v_nGroups && v_nPart.0 < 1 11.54/10.18 eval_sendMTFValues_.critedge_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_ge.0 > v_gs.0 && v_nPart.0 < v_nGroups && v_nPart.0 > 1 11.54/10.18 eval_sendMTFValues_.critedge_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_ge.0 > v_gs.0 && v_nPart.0 > v_nGroups && v_nPart.0 < 1 11.54/10.18 eval_sendMTFValues_.critedge_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_ge.0 > v_gs.0 && v_nPart.0 > v_nGroups && v_nPart.0 > 1 11.54/10.18 eval_sendMTFValues_.critedge_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0, v_gs.0, v_nGroups, v_nPart.0)) :|: v_ge.0 <= v_gs.0 11.54/10.18 eval_sendMTFValues_.critedge_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nPart.0 >= v_nGroups && v_nPart.0 <= v_nGroups 11.54/10.18 eval_sendMTFValues_.critedge_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nPart.0 >= 1 && v_nPart.0 <= 1 11.54/10.18 eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0 - 1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nGroups - v_nPart.0 >= 0 && v_nGroups - v_nPart.0 <= 0 && nondef.1 >= 0 && nondef.1 <= 0 && nondef.1 >= 1 && nondef.1 <= 1 11.54/10.18 eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0 - 1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nGroups - v_nPart.0 > 0 && nondef.1 >= 0 && nondef.1 < 2 && nondef.1 >= 1 && nondef.1 <= 1 11.54/10.18 eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0 - 1, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nGroups - v_nPart.0 < 0 && nondef.1 <= 0 && nondef.1 > -(2) && nondef.1 >= 1 && nondef.1 <= 1 11.54/10.18 eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nGroups - v_nPart.0 >= 0 && v_nGroups - v_nPart.0 <= 0 && nondef.1 >= 0 && nondef.1 <= 0 && nondef.1 < 1 11.54/10.18 eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nGroups - v_nPart.0 >= 0 && v_nGroups - v_nPart.0 <= 0 && nondef.1 >= 0 && nondef.1 <= 0 && nondef.1 > 1 11.54/10.18 eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nGroups - v_nPart.0 > 0 && nondef.1 >= 0 && nondef.1 < 2 && nondef.1 < 1 11.54/10.18 eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nGroups - v_nPart.0 > 0 && nondef.1 >= 0 && nondef.1 < 2 && nondef.1 > 1 11.54/10.18 eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nGroups - v_nPart.0 < 0 && nondef.1 <= 0 && nondef.1 > -(2) && nondef.1 < 1 11.54/10.18 eval_sendMTFValues_bb6_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.0, v_gs.0, v_nGroups, v_nPart.0)) :|: v_nGroups - v_nPart.0 < 0 && nondef.1 <= 0 && nondef.1 > -(2) && nondef.1 > 1 11.54/10.18 eval_sendMTFValues_bb7_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_bb1_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_ge.1 + 1, v_nGroups, v_nPart.0 - 1)) :|: TRUE 11.54/10.18 eval_sendMTFValues_bb8_in(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0) -> Com_1(eval_sendMTFValues_stop(v_2, v_alphaSize, v_ge.0, v_ge.1, v_gs.0, v_nGroups, v_nPart.0)) :|: TRUE 11.54/10.18 11.54/10.18 The start-symbols are:[eval_sendMTFValues_start_7] 11.54/10.18 11.54/10.18 11.54/10.18 ---------------------------------------- 11.54/10.18 11.54/10.18 (1) Koat Proof (FINISHED) 11.54/10.18 YES(?, 3024*ar_2^2 + 3456*ar_2*ar_6 + 86952*ar_2 + 1728*ar_6 + 42726) 11.54/10.18 11.54/10.18 11.54/10.18 11.54/10.18 Initial complexity problem: 11.54/10.18 11.54/10.18 1: T: 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuesstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuesbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuesbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 >= 1 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuesbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_1 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuesbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb3in(ar_0, ar_1, ar_2, ar_0 - 1, ar_4, ar_5, ar_6, ar_7)) 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuesbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValues2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValues20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValues21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValues3(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValues2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalsendMTFValues20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalsendMTFValues21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValues3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_4 + 1 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValues3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 >= 1 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValues3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuescritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_4 = 0 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuesbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= ar_3 + 2 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuesbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuescritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 + 1 >= ar_6 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuesbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5, ar_6, ar_7)) 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuescritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= ar_0 + 1 /\ ar_2 >= ar_1 + 1 /\ 0 >= ar_1 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuescritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= ar_0 + 1 /\ ar_2 >= ar_1 + 1 /\ ar_1 >= 2 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuescritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= ar_0 + 1 /\ ar_1 >= ar_2 + 1 /\ 0 >= ar_1 ] 11.54/10.18 11.54/10.18 (Comp: ?, Cost: 1) evalsendMTFValuescritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalsendMTFValuesbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= ar_0 + 1 /\ ar_1 >= ar_2 + 1 /\ ar_1 >= 2 ]
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