details

property	value
status	complete
benchmark	speedNestedMultiple.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n155.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	3.17517 seconds
cpu usage	7.79401
user time	7.38877
system time	0.405235
max virtual memory	1.8870296E7
max residence set size	225980.0

stage attributes

key	value
starexec-result	WORST_CASE(Omega(n^1), O(n^1))

output

7.69/3.14 WORST_CASE(Omega(n^1), O(n^1)) 7.69/3.15 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 7.69/3.15 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.69/3.15 7.69/3.15 7.69/3.15 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). 7.69/3.15 7.69/3.15 (0) CpxIntTrs 7.69/3.15 (1) Koat Proof [FINISHED, 1128 ms] 7.69/3.15 (2) BOUNDS(1, n^1) 7.69/3.15 (3) Loat Proof [FINISHED, 1297 ms] 7.69/3.15 (4) BOUNDS(n^1, INF) 7.69/3.15 7.69/3.15 7.69/3.15 ---------------------------------------- 7.69/3.15 7.69/3.15 (0) 7.69/3.15 Obligation: 7.69/3.15 Complexity Int TRS consisting of the following rules: 7.69/3.15 eval_speedNestedMultiple_start(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_bb0_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_bb0_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_0(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_0(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_1(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_1(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_2(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_2(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_3(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_3(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_4(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_4(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_5(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_5(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_bb1_in(v_x, v_y, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_bb1_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_bb2_in(v__0, v__01, v__01, v_2, v_5, v_m, v_n, v_x, v_y)) :|: v__0 < v_n 7.69/3.15 eval_speedNestedMultiple_bb1_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_bb5_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: v__0 >= v_n 7.69/3.15 eval_speedNestedMultiple_bb2_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_bb3_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: v__1 < v_m 7.69/3.15 eval_speedNestedMultiple_bb2_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple__critedge_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: v__1 >= v_m 7.69/3.15 eval_speedNestedMultiple_bb3_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_6(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_6(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_7(v__0, v__01, v__1, nondef_0, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_7(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_bb4_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: v_2 > 0 7.69/3.15 eval_speedNestedMultiple_7(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple__critedge_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: v_2 <= 0 7.69/3.15 eval_speedNestedMultiple_bb4_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_bb2_in(v__0, v__01, v__1 + 1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple__critedge_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_11(v__0, v__01, v__1, v_2, v__0 + 1, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_11(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_12(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_12(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_bb1_in(v_5, v__1, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 eval_speedNestedMultiple_bb5_in(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y) -> Com_1(eval_speedNestedMultiple_stop(v__0, v__01, v__1, v_2, v_5, v_m, v_n, v_x, v_y)) :|: TRUE 7.69/3.15 7.69/3.15 The start-symbols are:[eval_speedNestedMultiple_start_9] 7.69/3.15 7.69/3.15 7.69/3.15 ---------------------------------------- 7.69/3.15 7.69/3.15 (1) Koat Proof (FINISHED) 7.69/3.15 YES(?, 36*ar_1 + 36*ar_4 + 25*ar_3 + 25*ar_6 + 33) 7.69/3.15 7.69/3.15 7.69/3.15 7.69/3.15 Initial complexity problem: 7.69/3.15 7.69/3.15 1: T: 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplebb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_2, ar_6, ar_7, ar_8)) [ ar_4 >= ar_0 + 1 ] 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_0 >= ar_4 ] 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_6 >= ar_5 + 1 ] 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplecritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_5 >= ar_6 ] 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, j, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ ar_7 >= 1 ] 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplecritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 0 >= ar_7 ] 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplecritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_0 + 1)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiple12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiple12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplebb1in(ar_8, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: ?, Cost: 1) evalspeedNestedMultiplebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplestop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) 7.69/3.15 7.69/3.15 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8) -> Com_1(evalspeedNestedMultiplestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8)) [ 0 <= 0 ] 7.69/3.15 7.69/3.15 start location: koat_start popout

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all output return to Complexity_ITS 2019-03-21 04.46