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Complexity_ITS 2019-03-21 04.46 pair #429990292
details
property
value
status
complete
benchmark
brp_withassume.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n109.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
14.7885 seconds
cpu usage
43.5195
user time
42.3061
system time
1.21338
max virtual memory
1.9194728E7
max residence set size
519160.0
stage attributes
key
value
starexec-result
WORST_CASE(NON_POLY, ?)
output
43.27/14.72 WORST_CASE(NON_POLY, ?) 43.27/14.74 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 43.27/14.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 43.27/14.74 43.27/14.74 43.27/14.74 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 43.27/14.74 43.27/14.74 (0) CpxIntTrs 43.27/14.74 (1) Loat Proof [FINISHED, 12.9 s] 43.27/14.74 (2) BOUNDS(INF, INF) 43.27/14.74 43.27/14.74 43.27/14.74 ---------------------------------------- 43.27/14.74 43.27/14.74 (0) 43.27/14.74 Obligation: 43.27/14.74 Complexity Int TRS consisting of the following rules: 43.27/14.74 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 43.27/14.74 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 43.27/14.74 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 43.27/14.74 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 43.27/14.74 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 43.27/14.74 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, 1, K, K, R, M, N, O, P, Q)) :|: G + 1 >= C && 1 >= R && R >= 0 43.27/14.74 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, 0, K, K, R, M, N, O, P, Q)) :|: C >= 2 + G && 1 >= R && R >= 0 43.27/14.74 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)) :|: L >= 1 && 0 >= D && 0 >= E 43.27/14.74 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)) :|: L >= 1 && 0 >= D && E >= 1 && E <= 1 43.27/14.74 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 43.27/14.74 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 43.27/14.74 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f41(H, I, C, D, E, F, G, H, I, J, K, L, 1, J, O, P, Q)) :|: M >= 1 && L >= 1 43.27/14.74 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f41(H, I, C, D, E, F, G, H, I, J, K, L, 1, J, J, P, Q)) :|: 0 >= M && L >= 1 43.27/14.74 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, N, P, Q)) :|: 0 >= A + 1 && N >= O && N <= O 43.27/14.74 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, N, P, Q)) :|: A >= 1 && N >= O && N <= O 43.27/14.74 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, N, P, Q)) :|: A >= 0 && A <= 0 && N >= O && N <= O 43.27/14.74 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, 1, Q)) :|: B >= 0 && B <= 0 43.27/14.74 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 43.27/14.74 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 43.27/14.74 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, 2, Q)) :|: 0 >= B && 0 >= A 43.27/14.74 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 43.27/14.74 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, 3, Q)) :|: B >= 1 43.27/14.74 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, I, J, K, L, M, N, O, P, R)) :|: R >= 0 && N >= O + 1 && 1 >= R 43.27/14.74 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, I, J, K, L, M, N, O, P, R)) :|: R >= 0 && O >= 1 + N && 1 >= R 43.27/14.74 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, I, J, K, L, M, N, 0, P, R)) :|: R >= 0 && O >= 1 && 1 >= R 43.27/14.74 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, I, J, K, L, M, N, 1, P, R)) :|: R >= 0 && 0 >= O && 1 >= R 43.27/14.74 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 && Q >= 1 43.27/14.74 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 && Q >= 1 && E >= 1 && E <= 1 43.27/14.74 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 43.27/14.74 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 43.27/14.74 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, J, K, R, M, N, O, P, Q)) :|: C >= F && R >= 0 && 0 >= Q && 1 >= R 43.27/14.74 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, J, K, R, M, N, O, P, Q)) :|: C >= F && R >= 0 && Q >= 2 && 1 >= R 43.27/14.74 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, J, K, R, M, N, O, P, Q)) :|: 0 >= L && C >= F && 1 >= R && R >= 0 43.27/14.74 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, I, J, 0, L, M, N, O, P, 1)) :|: K >= 1 && C >= F && Q >= 1 && Q <= 1 43.27/14.74 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, I, J, 1, L, M, N, O, P, 1)) :|: 0 >= K && C >= F && Q >= 1 && Q <= 1 43.27/14.74 f10(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q) -> Com_1(f81(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q)) :|: G >= C 43.27/14.74 43.27/14.74 The start-symbols are:[f0_17] 43.27/14.74 43.27/14.74 43.27/14.74 ---------------------------------------- 43.27/14.74 43.27/14.74 (1) Loat Proof (FINISHED) 43.27/14.74 43.27/14.74 43.27/14.74 ### Pre-processing the ITS problem ### 43.27/14.74 43.27/14.74 43.27/14.74 43.27/14.74 Initial linear ITS problem 43.27/14.74 43.27/14.74 Start location: f0 43.27/14.74 43.27/14.74 0: f47 -> f51 : [ A>=1 ], cost: 1 43.27/14.74 43.27/14.74 19: f47 -> f45 : P'=2, [ 0>=B && 0>=A ], cost: 1 43.27/14.74 43.27/14.74 20: f47 -> f51 : [ B>=1 && 0>=A ], cost: 1 43.27/14.74 43.27/14.74 1: f51 -> f45 : [ 0>=B ], cost: 1 43.27/14.74 43.27/14.74 21: f51 -> f45 : P'=3, [ B>=1 ], cost: 1 43.27/14.74 43.27/14.74 2: f0 -> f10 : C'=free_1, D'=free, E'=0, F'=1, G'=0, [ free_1>=1 && free>=0 ], cost: 1 43.27/14.74 43.27/14.74 3: f10 -> f14 : H'=1, [ C>=1+G && 0>=G ], cost: 1 43.27/14.74 43.27/14.74 4: f10 -> f14 : H'=0, [ C>=1+G && G>=1 ], cost: 1 43.27/14.74 43.27/14.74 35: f10 -> f81 : [ G>=C ], cost: 1 43.27/14.74 43.27/14.74 5: f14 -> f22 : Q'=1, J'=K, L'=free_2, [ 1+G>=C && 1>=free_2 && free_2>=0 ], cost: 1 43.27/14.74 43.27/14.74 6: f14 -> f22 : Q'=0, J'=K, L'=free_3, [ C>=2+G && 1>=free_3 && free_3>=0 ], cost: 1 43.27/14.74 43.27/14.74 7: f22 -> f26 : E'=1+E, [ L>=1 && 0>=D && 0>=E ], cost: 1 43.27/14.74 43.27/14.74 8: f22 -> f26 : E'=1+E, [ L>=1 && 0>=D && E==1 ], cost: 1 43.27/14.74 43.27/14.74 9: f22 -> f26 : D'=free_4, E'=0, F'=1+F, [ E>=2 && 0>=D && free_4>=0 ], cost: 1 43.27/14.74 43.27/14.74 10: f22 -> f26 : D'=-1+D, [ D>=1 ], cost: 1 43.27/14.74
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