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Complexity_ITS 2019-03-21 04.46 pair #429990424
details
property
value
status
complete
benchmark
magic.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
17.1816 seconds
cpu usage
51.0314
user time
49.9136
system time
1.11776
max virtual memory
1.9365328E7
max residence set size
686200.0
stage attributes
key
value
starexec-result
WORST_CASE(NON_POLY, ?)
output
50.74/17.12 WORST_CASE(NON_POLY, ?) 50.95/17.13 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 50.95/17.13 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 50.95/17.13 50.95/17.13 50.95/17.13 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 50.95/17.13 50.95/17.13 (0) CpxIntTrs 50.95/17.13 (1) Loat Proof [FINISHED, 15.4 s] 50.95/17.13 (2) BOUNDS(INF, INF) 50.95/17.13 50.95/17.13 50.95/17.13 ---------------------------------------- 50.95/17.13 50.95/17.13 (0) 50.95/17.13 Obligation: 50.95/17.13 Complexity Int TRS consisting of the following rules: 50.95/17.13 f129(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f130(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: 0 >= A + 1 50.95/17.13 f129(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f130(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: A >= 1 50.95/17.13 f130(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f131(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: 0 >= B + 1 50.95/17.13 f130(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f131(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: B >= 1 50.95/17.13 f131(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f132(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: 0 >= C + 1 50.95/17.13 f131(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f132(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: C >= 1 50.95/17.13 f0(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f25(1, 1, 1, 4, W, X, 0, 0, 0, 0, 0, Y, 0, N, O, P, Q, R, S, T, U, V)) :|: TRUE 50.95/17.13 f25(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f25(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, N, O, P, Q, R, S, T, U, V)) :|: E >= M + 1 50.95/17.13 f31(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f34(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: E >= M + 1 && 0 >= A + 1 50.95/17.13 f31(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f34(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: E >= M + 1 && A >= 1 50.95/17.13 f34(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f31(1, B, C, D, E, F, G, H, I, J, K, L, M + 1, 1, O, P, Q, R, S, T, U, V)) :|: W >= 1 50.95/17.13 f34(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f31(0, B, C, D, E, F, G, H, I, J, K, L, M + 1, 0, O, P, Q, R, S, T, U, V)) :|: W >= 1 50.95/17.13 f34(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f31(0, B, C, D, E, F, G, H, I, J, K, L, M + 1, 0, O, P, Q, R, S, T, U, V)) :|: 0 >= W 50.95/17.13 f31(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f31(0, B, C, D, E, F, G, H, I, J, K, L, M + 1, 0, O, P, Q, R, S, T, U, V)) :|: E >= M + 1 && A >= 0 && A <= 0 50.95/17.13 f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, M + 1, P, Q, R, S, T, U, V)) :|: E >= M + 1 50.95/17.13 f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f50(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: E >= O + 1 && 0 >= B + 1 50.95/17.13 f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f50(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: E >= O + 1 && B >= 1 50.95/17.13 f50(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f47(A, 1, C, D, E, F, G, H, I, J, K, L, M, N, O + 1, 1, Q, R, S, T, U, V)) :|: W >= X + 1 50.95/17.13 f50(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f47(A, 1, C, D, E, F, G, H, I, J, K, L, M, N, O + 1, 1, Q, R, S, T, U, V)) :|: TRUE 50.95/17.13 f50(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f47(A, 0, C, D, E, F, G, H, I, J, K, L, M, N, O + 1, 0, Q, R, S, T, U, V)) :|: TRUE 50.95/17.13 f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f47(A, 0, C, D, E, F, G, H, I, J, K, L, M, N, O + 1, 0, Q, R, S, T, U, V)) :|: E >= O + 1 && B >= 0 && B <= 0 50.95/17.13 f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f60(A, B, C, D, E, F, G, H + W, I, J, K, L, M + 1, N, O, P, Q, R, S, T, U, V)) :|: D >= M + 1 50.95/17.13 f66(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f72(A, B, 1, D, E, F, G, F, I, J, K, L, 0, N, O, P, 1, R, S, T, U, V)) :|: F >= H && F <= H 50.95/17.13 f66(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f72(A, B, 0, D, E, F, G, H, I, J, K, L, 0, N, O, P, 0, R, S, T, U, V)) :|: F >= H + 1 50.95/17.13 f66(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f72(A, B, 0, D, E, F, G, H, I, J, K, L, 0, N, O, P, 0, R, S, T, U, V)) :|: H >= 1 + F 50.95/17.13 f72(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f72(A, B, C, D, E, F, G, H, I + W, J, K, L, M + 1, N, O, P, Q, R, S, T, U, V)) :|: D >= M + 1 50.95/17.13 f78(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f84(A, B, 1, D, E, F, G, H, F, J, K, L, 0, N, O, P, Q, 1, S, T, U, V)) :|: F >= I && F <= I 50.95/17.13 f78(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f84(A, B, 0, D, E, F, G, H, I, J, K, L, 0, N, O, P, Q, 0, S, T, U, V)) :|: F >= I + 1 50.95/17.13 f78(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f84(A, B, 0, D, E, F, G, H, I, J, K, L, 0, N, O, P, Q, 0, S, T, U, V)) :|: I >= 1 + F 50.95/17.13 f84(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f88(A, B, C, D, E, F, G, H, I, 0, K, L, M, N, 0, P, Q, R, S, T, U, V)) :|: D >= M + 1 50.95/17.13 f88(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f88(A, B, C, D, E, F, G, H, I, J + W, K, L, M, N, O + 1, P, Q, R, S, T, U, V)) :|: D >= O + 1 50.95/17.13 f94(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f84(A, B, 1, D, E, F, G, H, I, F, K, L, M + 1, N, O, P, Q, R, 1, T, U, V)) :|: F >= J && F <= J 50.95/17.13 f94(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f84(A, B, 0, D, E, F, G, H, I, J, K, L, M + 1, N, O, P, Q, R, 0, T, U, V)) :|: F >= J + 1 50.95/17.13 f94(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f84(A, B, 0, D, E, F, G, H, I, J, K, L, M + 1, N, O, P, Q, R, 0, T, U, V)) :|: J >= 1 + F 50.95/17.13 f102(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f106(A, B, C, D, E, F, G, H, I, J, 0, L, 0, N, O, P, Q, R, S, T, U, V)) :|: D >= O + 1 50.95/17.13 f106(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f106(A, B, C, D, E, F, G, H, I, J, K + W, L, M + 1, N, O, P, Q, R, S, T, U, V)) :|: D >= M + 1 50.95/17.13 f112(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f102(A, B, 1, D, E, F, G, H, I, J, F, L, M, N, O + 1, P, Q, R, S, 1, U, V)) :|: F >= K && F <= K 50.95/17.13 f112(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f102(A, B, 0, D, E, F, G, H, I, J, K, L, M, N, O + 1, P, Q, R, S, 0, U, V)) :|: F >= K + 1 50.95/17.13 f112(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f102(A, B, 0, D, E, F, G, H, I, J, K, L, M, N, O + 1, P, Q, R, S, 0, U, V)) :|: K >= 1 + F 50.95/17.13 f132(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f141(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, 0, V)) :|: 0 >= G + 1 50.95/17.13 f132(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f141(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, 0, V)) :|: G >= 1 50.95/17.13 f132(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f141(A, B, C, D, E, F, 0, H, I, J, K, L, M, N, O, P, Q, R, S, T, 1, V)) :|: G >= 0 && G <= 0 50.95/17.13 f131(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f141(A, B, 0, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, 1, V)) :|: C >= 0 && C <= 0 50.95/17.13 f130(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f141(A, 0, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, 1, V)) :|: B >= 0 && B <= 0 50.95/17.13 f129(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f141(0, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, 1, V)) :|: A >= 0 && A <= 0 50.95/17.13 f106(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f112(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: M >= D && 0 >= C + 1 50.95/17.13 f106(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f112(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: M >= D && C >= 1 50.95/17.13 f106(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f102(A, B, 0, D, E, F, G, H, I, J, K, L, M, N, O + 1, P, Q, R, S, 0, U, V)) :|: M >= D && C >= 0 && C <= 0 50.95/17.13 f102(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f129(A, B, C, D, E, F, 1, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, 1)) :|: W >= X + 1 && Y >= Z + 1 && A1 >= B1 + 1 && O >= D && C1 >= D1 + 1 50.95/17.13 f102(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f129(A, B, C, D, E, F, 0, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, 0)) :|: W >= X + 1 && Y >= Z + 1 && O >= D && A1 >= B1 + 1 50.95/17.13 f102(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f129(A, B, C, D, E, F, 0, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, 0)) :|: W >= X + 1 && O >= D && Y >= Z + 1 50.95/17.13 f102(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f129(A, B, C, D, E, F, 0, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, 0)) :|: O >= D && W >= X + 1 50.95/17.13 f102(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f129(A, B, C, D, E, F, 0, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, 0)) :|: O >= D 50.95/17.13 f88(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f94(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: O >= D && 0 >= C + 1 50.95/17.13 f88(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f94(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: O >= D && C >= 1 50.95/17.13 f88(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f84(A, B, 0, D, E, F, G, H, I, J, K, L, M + 1, N, O, P, Q, R, 0, T, U, V)) :|: O >= D && C >= 0 && C <= 0 50.95/17.13 f84(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f102(A, B, C, D, E, F, G, H, I, J, K, L, M, N, 0, P, Q, R, S, T, U, V)) :|: M >= D 50.95/17.13 f72(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f78(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: M >= D && 0 >= C + 1 50.95/17.13 f72(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f78(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: M >= D && C >= 1 50.95/17.13 f72(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f84(A, B, 0, D, E, F, G, H, I, J, K, L, 0, N, O, P, Q, 0, S, T, U, V)) :|: M >= D && C >= 0 && C <= 0 50.95/17.13 f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f66(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: M >= D && 0 >= C + 1 50.95/17.13 f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f66(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: M >= D && C >= 1 50.95/17.13 f60(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f72(A, B, 0, D, E, F, G, H, I, J, K, L, 0, N, O, P, 0, R, S, T, U, V)) :|: M >= D && C >= 0 && C <= 0 50.95/17.13 f47(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f44(A, B, C, D, E, F, G, H, I, J, K, L, M + 1, N, O, P, Q, R, S, T, U, V)) :|: O >= E 50.95/17.13 f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f60(A, B, C, D, E, F, G, H, I, J, K, L, 0, N, O, P, Q, R, S, T, U, V)) :|: M >= E 50.95/17.13 f31(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f44(A, B, C, D, E, F, G, H, I, J, K, L, 0, N, O, P, Q, R, S, T, U, V)) :|: M >= E 50.95/17.13 f25(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f31(A, B, C, D, E, F, G, H, I, J, K, L, 0, N, O, P, Q, R, S, T, U, V)) :|: M >= E 50.95/17.13 50.95/17.13 The start-symbols are:[f0_22] 50.95/17.13 50.95/17.13 50.95/17.13 ---------------------------------------- 50.95/17.13 50.95/17.13 (1) Loat Proof (FINISHED) 50.95/17.13 50.95/17.13 50.95/17.13 ### Pre-processing the ITS problem ### 50.95/17.13 50.95/17.13 50.95/17.13 50.95/17.13 Initial linear ITS problem 50.95/17.13 50.95/17.13 Start location: f0
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