details

property	value
status	complete
benchmark	tqli.c.i.tqli.pl.t2.nor.t2.rlgfixed.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n003.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	138.855 seconds
cpu usage	170.071
user time	166.904
system time	3.16697
max virtual memory	1.8939624E7
max residence set size	341724.0

stage attributes

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

output

169.97/138.81 WORST_CASE(Omega(n^1), ?) 169.97/138.82 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 169.97/138.82 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 169.97/138.82 169.97/138.82 169.97/138.82 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, INF). 169.97/138.82 169.97/138.82 (0) CpxIntTrs 169.97/138.82 (1) Loat Proof [FINISHED, 12.7 s] 169.97/138.82 (2) BOUNDS(n^1, INF) 169.97/138.82 169.97/138.82 169.97/138.82 ---------------------------------------- 169.97/138.82 169.97/138.82 (0) 169.97/138.82 Obligation: 169.97/138.82 Complexity Int TRS consisting of the following rules: 169.97/138.82 f2(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f2(A, B + 1, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: A >= B 169.97/138.82 f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= D + 1 169.97/138.82 f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: D >= 1 + C 169.97/138.82 f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D, 0, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: A >= C 169.97/138.82 f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f24(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: D >= A 169.97/138.82 f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f24(A, B, C, D, E, V, W, V + W, 0, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: A >= 1 + D 169.97/138.82 f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D + 1, E, V, W, V + W, X, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: 0 >= X + 1 && A >= 1 + D 169.97/138.82 f15(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f15(A, B, C, D + 1, E, V, W, V + W, X, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: X >= 1 && A >= 1 + D 169.97/138.82 f24(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, C, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= D && C <= D 169.97/138.82 f24(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f28(A, B, C, D, E + 1, F, G, H, I, E, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= D + 1 169.97/138.82 f24(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f28(A, B, C, D, E + 1, F, G, H, I, E, K, L, M, N, O, P, Q, R, S, T, U)) :|: D >= 1 + C 169.97/138.82 f28(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f32(A, B, C, D, E, F, G, H, I, J, V, W, M, N, O, P, Q, R, S, T, U)) :|: 29 >= J 169.97/138.82 f28(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f32(A, B, C, D, E, F, G, H, I, J, V, W, M, N, O, P, Q, R, S, T, U)) :|: J >= 31 169.97/138.82 f28(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f32(A, B, C, D, E, F, G, H, I, 30, V, W, M, N, O, P, Q, R, S, T, U)) :|: J >= 30 && J <= 30 169.97/138.82 f32(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f42(A, B, C, D, E, F, G, H, I, J, V, L, W, W, 1, 1, 0, R, S, T, U)) :|: K >= 0 169.97/138.82 f32(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f42(A, B, C, D, E, F, G, H, I, J, V, L, M, -(W), 1, 1, 0, W, S, T, U)) :|: 0 >= K + 1 169.97/138.82 f42(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= B + 1 169.97/138.82 f42(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f68(A, B, C, D, E, F, G, H, I, J, K, 0, M, N, O, P, Q, R, V, W, U)) :|: B >= C 169.97/138.82 f42(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f60(A, B, C, D, E, F, G, H, I, J, V, W, M, N, X, Z, A1, R, B1, C1, U)) :|: B >= C && 0 >= Y + 1 169.97/138.82 f42(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f60(A, B, C, D, E, F, G, H, I, J, V, W, M, N, X, Z, A1, R, B1, C1, U)) :|: B >= C && Y >= 1 169.97/138.82 f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, V, T, U + 1)) :|: A >= U 169.97/138.82 f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, 0, M, N, O, P, Q, R, S, T, U)) :|: B >= C && L >= 0 && L <= 0 169.97/138.82 f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: 0 >= L + 1 169.97/138.82 f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: L >= 1 169.97/138.82 f68(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, 0, M, N, O, P, Q, R, S, T, U)) :|: C >= B + 1 && L >= 0 && L <= 0 169.97/138.82 f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f10(A, B, C + 1, C, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= D && C <= D 169.97/138.82 f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f42(A, B - 1, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: U >= 1 + A 169.97/138.82 f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f1(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: C >= 1 + A 169.97/138.82 f2(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: B >= 1 + A 169.97/138.82 start(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U) -> Com_1(f2(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)) :|: TRUE 169.97/138.82 169.97/138.82 The start-symbols are:[start_21] 169.97/138.82 169.97/138.82 169.97/138.82 ---------------------------------------- 169.97/138.82 169.97/138.82 (1) Loat Proof (FINISHED) 169.97/138.82 169.97/138.82 169.97/138.82 ### Pre-processing the ITS problem ### 169.97/138.82 169.97/138.82 169.97/138.82 169.97/138.82 Initial linear ITS problem 169.97/138.82 169.97/138.82 Start location: start 169.97/138.82 169.97/138.82 0: f2 -> f2 : B'=1+B, [ A>=B ], cost: 1 169.97/138.82 169.97/138.82 28: f2 -> f10 : [ B>=1+A ], cost: 1 169.97/138.82 169.97/138.82 1: f75 -> f15 : [ C>=1+D ], cost: 1 169.97/138.82 169.97/138.82 2: f75 -> f15 : [ D>=1+C ], cost: 1 169.97/138.82 169.97/138.82 25: f75 -> f10 : C'=1+C, D'=C, [ C==D ], cost: 1 169.97/138.82 169.97/138.82 3: f10 -> f15 : E'=0, [ A>=C ], cost: 1 169.97/138.82 169.97/138.82 27: f10 -> f1 : A1'=B, B'=C, B1'=D, C'=E, C1'=F, D'=G, E'=H, F'=Q, G'=J, H'=K, Q'=L, J'=M, K'=N, L'=O, M'=P, N'=Q_1, O'=R, P'=S, Q_1'=T, R'=U, [ C>=1+A ], cost: 1 169.97/138.82 169.97/138.82 4: f15 -> f24 : [ D>=A ], cost: 1 169.97/138.82 169.97/138.82 5: f15 -> f24 : F'=free, G'=free_1, H'=free_1+free, Q'=0, [ A>=1+D ], cost: 1 169.97/138.82 169.97/138.82 6: f15 -> f15 : D'=1+D, F'=free_2, G'=free_3, H'=free_2+free_3, Q'=free_4, [ 0>=1+free_4 && A>=1+D ], cost: 1 169.97/138.82 169.97/138.82 7: f15 -> f15 : D'=1+D, F'=free_5, G'=free_6, H'=free_5+free_6, Q'=free_7, [ free_7>=1 && A>=1+D ], cost: 1 169.97/138.82 169.97/138.82 8: f24 -> f75 : D'=C, [ C==D ], cost: 1 169.97/138.82 169.97/138.82 9: f24 -> f28 : E'=1+E, J'=E, [ C>=1+D ], cost: 1 169.97/138.82 169.97/138.82 10: f24 -> f28 : E'=1+E, J'=E, [ D>=1+C ], cost: 1 169.97/138.82 169.97/138.82 11: f28 -> f32 : K'=free_8, L'=free_9, [ 29>=J ], cost: 1 169.97/138.82 169.97/138.82 12: f28 -> f32 : K'=free_10, L'=free_11, [ J>=31 ], cost: 1 169.97/138.82 169.97/138.82 13: f28 -> f32 : J'=30, K'=free_12, L'=free_13, [ J==30 ], cost: 1 169.97/138.82 169.97/138.82 14: f32 -> f42 : K'=free_14, M'=free_15, N'=free_15, O'=1, P'=1, Q_1'=0, [ K>=0 ], cost: 1 169.97/138.82 popout

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all output return to Complexity_ITS 2019-03-21 04.46