details

property	value
status	complete
benchmark	brp.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n005.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	16.0255 seconds
cpu usage	43.5942
user time	42.4373
system time	1.15684
max virtual memory	1.9036064E7
max residence set size	424164.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

43.37/14.84 WORST_CASE(NON_POLY, ?) 43.51/14.86 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 43.51/14.86 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 43.51/14.86 43.51/14.86 43.51/14.86 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 43.51/14.86 43.51/14.86 (0) CpxIntTrs 43.51/14.86 (1) Loat Proof [FINISHED, 13.1 s] 43.51/14.86 (2) BOUNDS(INF, INF) 43.51/14.86 43.51/14.86 43.51/14.86 ---------------------------------------- 43.51/14.86 43.51/14.86 (0) 43.51/14.86 Obligation: 43.51/14.86 Complexity Int TRS consisting of the following rules: 43.51/14.86 f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f51(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: A >= 1 43.51/14.86 f51(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f45(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: 0 >= B 43.51/14.86 f0(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f10(A, B, R, S, 0, 1, 0, H, I, J, K, L, M, N, O, P, Q)) :|: R >= 1 && S >= 0 43.51/14.86 f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f14(A, B, C, D, E, F, G, 1, I, J, K, L, M, N, O, P, Q)) :|: C >= G + 1 && 0 >= G 43.51/14.86 f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f14(A, B, C, D, E, F, G, 0, I, J, K, L, M, N, O, P, Q)) :|: C >= G + 1 && G >= 1 43.51/14.86 f62(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f22(A, B, C, D, E, F, G, H, I, R, K, L, M, N, O, P, Q)) :|: R >= 0 && 0 >= I && 1 >= R 43.51/14.86 f62(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f22(A, B, C, D, E, F, G, H, I, R, K, L, M, N, O, P, Q)) :|: R >= 0 && I >= 2 && 1 >= R 43.51/14.86 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f22(A, B, C, D, E, F, G, H, I, R, K, L, M, N, O, P, Q)) :|: 0 >= J && 1 >= R && R >= 0 43.51/14.86 f14(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f22(A, B, C, D, E, F, G, H, I, R, 1, M, M, N, O, P, Q)) :|: G + 1 >= C && 1 >= R && R >= 0 43.51/14.86 f14(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f22(A, B, C, D, E, F, G, H, I, R, 0, M, M, N, O, P, Q)) :|: C >= 2 + G && 1 >= R && R >= 0 43.51/14.86 f22(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f26(A, B, C, D, E + 1, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: J >= 1 && 0 >= D && 0 >= E 43.51/14.86 f22(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f26(A, B, C, D, E + 1, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: J >= 1 && 0 >= D && E >= 1 && E <= 1 43.51/14.86 f22(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f26(A, B, C, R, 0, F + 1, G, H, I, J, K, L, M, N, O, P, Q)) :|: E >= 2 && 0 >= D && R >= 0 43.51/14.86 f22(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f26(A, B, C, D - 1, E, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: D >= 1 43.51/14.86 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f41(H, K, C, D, E, F, G, H, I, J, K, L, M, 1, L, P, Q)) :|: N >= 1 && J >= 1 43.51/14.86 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f41(H, K, C, D, E, F, G, H, I, J, K, L, M, 1, L, L, Q)) :|: 0 >= N && J >= 1 43.51/14.86 f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f43(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, O, Q)) :|: 0 >= A + 1 && O >= P && O <= P 43.51/14.86 f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f43(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, O, Q)) :|: A >= 1 && O >= P && O <= P 43.51/14.86 f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f47(0, B, C, D, E, F, G, H, I, J, K, L, M, N, O, O, Q)) :|: A >= 0 && A <= 0 && O >= P && O <= P 43.51/14.86 f43(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f45(A, 0, C, D, E, F, G, H, I, J, K, L, M, N, O, P, 1)) :|: B >= 0 && B <= 0 43.51/14.86 f43(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: 0 >= B + 1 43.51/14.86 f43(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: B >= 1 43.51/14.86 f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f45(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, 2)) :|: 0 >= B && 0 >= A 43.51/14.86 f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f51(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: B >= 1 && 0 >= A 43.51/14.86 f51(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f45(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, 3)) :|: B >= 1 43.51/14.86 f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f58(A, B, C, D, E, F, G, H, R, J, K, L, M, N, O, P, Q)) :|: R >= 0 && O >= P + 1 && 1 >= R 43.51/14.86 f41(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f58(A, B, C, D, E, F, G, H, R, J, K, L, M, N, O, P, Q)) :|: R >= 0 && P >= 1 + O && 1 >= R 43.51/14.86 f45(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f58(A, B, C, D, E, F, G, H, R, J, K, L, M, N, O, 0, Q)) :|: R >= 0 && P >= 1 && 1 >= R 43.51/14.86 f45(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f58(A, B, C, D, E, F, G, H, R, J, K, L, M, N, O, 1, Q)) :|: R >= 0 && 0 >= P && 1 >= R 43.51/14.86 f58(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f62(A, B, C, D, E + 1, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: 0 >= E && 0 >= D && I >= 1 43.51/14.86 f58(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f62(A, B, C, D, E + 1, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: 0 >= D && I >= 1 && E >= 1 && E <= 1 43.51/14.86 f58(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f62(A, B, C, R, 0, F + 1, G, H, I, J, K, L, M, N, O, P, Q)) :|: E >= 2 && 0 >= D && R >= 0 43.51/14.86 f58(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f62(A, B, C, D - 1, E, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: D >= 1 43.51/14.86 f62(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f10(A, B, C, D, E, F, G + 1, H, 1, J, K, L, 0, N, O, P, Q)) :|: M >= 1 && I >= 1 && I <= 1 43.51/14.86 f62(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f10(A, B, C, D, E, F, G + 1, H, 1, J, K, L, 1, N, O, P, Q)) :|: 0 >= M && I >= 1 && I <= 1 43.51/14.86 f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f79(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: G >= C 43.51/14.86 43.51/14.86 The start-symbols are:[f0_17] 43.51/14.86 43.51/14.86 43.51/14.86 ---------------------------------------- 43.51/14.86 43.51/14.86 (1) Loat Proof (FINISHED) 43.51/14.86 43.51/14.86 43.51/14.86 ### Pre-processing the ITS problem ### 43.51/14.86 43.51/14.86 43.51/14.86 43.51/14.86 Initial linear ITS problem 43.51/14.86 43.51/14.86 Start location: f0 43.51/14.86 43.51/14.86 0: f47 -> f51 : [ A>=1 ], cost: 1 43.51/14.86 43.51/14.86 22: f47 -> f45 : Q_1'=2, [ 0>=B && 0>=A ], cost: 1 43.51/14.86 43.51/14.86 23: f47 -> f51 : [ B>=1 && 0>=A ], cost: 1 43.51/14.86 43.51/14.86 1: f51 -> f45 : [ 0>=B ], cost: 1 43.51/14.86 43.51/14.86 24: f51 -> f45 : Q_1'=3, [ B>=1 ], cost: 1 43.51/14.86 43.51/14.86 2: f0 -> f10 : C'=free_1, D'=free, E'=0, F'=1, G'=0, [ free_1>=1 && free>=0 ], cost: 1 43.51/14.86 43.51/14.86 3: f10 -> f14 : H'=1, [ C>=1+G && 0>=G ], cost: 1 43.51/14.86 43.51/14.86 4: f10 -> f14 : H'=0, [ C>=1+G && G>=1 ], cost: 1 43.51/14.86 43.51/14.86 35: f10 -> f79 : [ G>=C ], cost: 1 43.51/14.86 43.51/14.86 5: f62 -> f22 : J'=free_2, [ free_2>=0 && 0>=Q && 1>=free_2 ], cost: 1 43.51/14.86 43.51/14.86 6: f62 -> f22 : J'=free_3, [ free_3>=0 && Q>=2 && 1>=free_3 ], cost: 1 43.51/14.86 43.51/14.86 33: f62 -> f10 : G'=1+G, Q'=1, M'=0, [ M>=1 && Q==1 ], cost: 1 43.51/14.86 43.51/14.86 34: f62 -> f10 : G'=1+G, Q'=1, M'=1, [ 0>=M && Q==1 ], cost: 1 43.51/14.86 43.51/14.86 7: f26 -> f22 : J'=free_4, [ 0>=J && 1>=free_4 && free_4>=0 ], cost: 1 43.51/14.86 43.51/14.86 14: f26 -> f41 : A'=H, B'=K, N'=1, O'=L, [ N>=1 && J>=1 ], cost: 1 43.51/14.86 popout

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all output return to Complexity_ITS 2019-03-21 04.46