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Complexity_ITS 2019-03-21 04.46 pair #429990838
details
property
value
status
complete
benchmark
streamserver.bug.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n086.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
12.4994 seconds
cpu usage
33.8345
user time
32.8096
system time
1.02495
max virtual memory
1.9188112E7
max residence set size
535504.0
stage attributes
key
value
starexec-result
WORST_CASE(NON_POLY, ?)
output
33.67/11.57 WORST_CASE(NON_POLY, ?) 33.80/12.53 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 33.80/12.53 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 33.80/12.53 33.80/12.53 33.80/12.53 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 33.80/12.53 33.80/12.53 (0) CpxIntTrs 33.80/12.53 (1) Loat Proof [FINISHED, 9648 ms] 33.80/12.53 (2) BOUNDS(INF, INF) 33.80/12.53 33.80/12.53 33.80/12.53 ---------------------------------------- 33.80/12.53 33.80/12.53 (0) 33.80/12.53 Obligation: 33.80/12.53 Complexity Int TRS consisting of the following rules: 33.80/12.53 f20(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(A, 1, D, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: 0 >= A + 1 33.80/12.53 f20(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(A, 1, D, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: A >= 1 33.80/12.53 f20(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(0, 1, 0, 0, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: D >= 0 && D <= 0 && A >= 0 && A <= 0 33.80/12.53 f20(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(0, 0, D, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: 0 >= D + 1 && A >= 0 && A <= 0 33.80/12.53 f20(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(0, 0, D, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: D >= 1 && A >= 0 && A <= 0 33.80/12.53 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: C >= E 33.80/12.53 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f33(A, B, C, D, E, W, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: 0 >= W + 1 && E >= C + 1 33.80/12.53 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f33(A, B, C, D, E, W, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: W >= 1 && E >= C + 1 33.80/12.53 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f33(A, B, C, D, E, 0, 0, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: E >= C + 1 33.80/12.53 f33(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f39(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: H >= I 33.80/12.53 f33(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f39(A, B, C, D, E, F, G, H, I, -(1), K, L, M, N, O, P, Q, R, S, T, U, V)) :|: I >= H + 1 && J + 1 >= 0 && J + 1 <= 0 33.80/12.53 f33(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f33(A, B, C, D, E, F, G, H + 1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: I >= H + 1 && 0 >= 2 + J 33.80/12.53 f33(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f33(A, B, C, D, E, F, G, H + 1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: I >= H + 1 && J >= 0 33.80/12.53 f39(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: H >= I 33.80/12.53 f39(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, 0, W, X, N, O, P, Q, R, S, T, U, V)) :|: I >= H + 1 && 0 >= W + 1 33.80/12.53 f39(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, 0, W, X, N, O, P, Q, R, S, T, U, V)) :|: I >= H + 1 && W >= 1 33.80/12.53 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, 0, W, O, P, Q, R, S, T, U, V)) :|: M >= 0 && M <= 0 33.80/12.53 f39(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, 0, 0, M, W, O, P, Q, R, S, T, U, V)) :|: I >= H + 1 33.80/12.53 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(f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, 3, 1, W, R, S, T, U, V)) :|: N >= 0 && 0 >= W && O >= 3 && O <= 3 33.80/12.53 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(f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, 3, 1, W, R, S, T, U, V)) :|: N >= 0 && W >= 2 && O >= 3 && O <= 3 33.80/12.53 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(f59(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, W, S, T, U, V)) :|: N >= 0 && 2 >= O 33.80/12.53 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(f59(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, W, S, T, U, V)) :|: N >= 0 && O >= 4 33.80/12.53 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(f59(A, B, C, D, E, F, G, H, I, J, K, L, M, N, 3, P, 1, W, S, T, U, V)) :|: N >= 0 && O >= 3 && O <= 3 33.80/12.53 f59(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f62(A, B, C, D, E, F, G, H, I, J, K, L, M, W, O, P, Q, R, S, T, U, V)) :|: 10 >= R 33.80/12.53 f59(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f62(A, B, C, D, E, F, G, H, I, J, K, L, M, W, O, P, Q, 10, S, T, U, V)) :|: R >= 11 33.80/12.53 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(A, B, C + 1, D, E, 0, W, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: 0 >= W + 1 && E >= C + 1 33.80/12.53 f26(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(A, B, C + 1, D, E, 0, W, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: W >= 1 && E >= C + 1 33.80/12.53 f39(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(A, B, C + 1, D, E, F, G, H, I, J, W, L, M, N, O, P, Q, R, S, T, U, V)) :|: I >= H + 1 && 0 >= W + 1 33.80/12.53 f39(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(A, B, C + 1, D, E, F, G, H, I, J, W, L, M, N, O, P, Q, R, S, T, U, V)) :|: I >= H + 1 && W >= 1 33.80/12.53 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(f26(A, B, C + 1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: 0 >= M + 1 33.80/12.53 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(f26(A, B, C + 1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: M >= 1 33.80/12.53 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(f26(A, B, C + 1, D, E, F, G, H, I, J, K, L, M, N, O, 1, Q, R, S, T, U, V)) :|: 0 >= N + 1 33.80/12.53 f62(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(A, B, C + 1, D, E, F, G, H, I, J, K, L, M, N, O, 1, Q, R, S, T, U, V)) :|: 0 >= N + 1 33.80/12.53 f62(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f26(A, B, C + 1, D, E, F, G, H, I, K, K, L, M, N, O, P, Q, R, S + 1, T, U, V)) :|: N >= 0 33.80/12.53 f71(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f71(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: TRUE 33.80/12.53 f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f71(0, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, 0, T, U, V)) :|: S >= 0 && S <= 0 33.80/12.53 f74(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f74(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: TRUE 33.80/12.53 f73(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f74(0, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: TRUE 33.80/12.53 f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f74(0, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: 0 >= S + 1 33.80/12.53 f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V) -> Com_1(f74(0, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V)) :|: S >= 1 33.80/12.53 f76(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)) :|: TRUE 33.80/12.53 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(f20(Z, B, C, X, W, F, G, 0, I, J, K, L, M, N, O, P, Q, R, 0, 3, 1, Y)) :|: X >= 0 && Y >= 1 && T >= 3 && T <= 3 33.80/12.53 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(f20(Z, B, C, X, W, F, G, 0, I, J, K, L, M, N, O, P, Q, R, 0, T, 1, Y)) :|: 2 >= T && X >= 0 && Y >= 1 33.80/12.53 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(f20(Z, B, C, X, W, F, G, 0, I, J, K, L, M, N, O, P, Q, R, 0, T, 1, Y)) :|: T >= 4 && X >= 0 && Y >= 1 33.80/12.53 33.80/12.53 The start-symbols are:[f0_22] 33.80/12.53 33.80/12.53 33.80/12.53 ---------------------------------------- 33.80/12.53 33.80/12.53 (1) Loat Proof (FINISHED) 33.80/12.53 33.80/12.53 33.80/12.53 ### Pre-processing the ITS problem ### 33.80/12.53 33.80/12.53 33.80/12.53 33.80/12.53 Initial linear ITS problem 33.80/12.53 33.80/12.53 Start location: f0 33.80/12.53 33.80/12.53 0: f20 -> f26 : B'=1, C'=D, [ 0>=1+A ], cost: 1 33.80/12.53 33.80/12.53 1: f20 -> f26 : B'=1, C'=D, [ A>=1 ], cost: 1 33.80/12.53 33.80/12.53 2: f20 -> f26 : A'=0, B'=1, C'=0, D'=0, [ D==0 && A==0 ], cost: 1 33.80/12.53 33.80/12.53 3: f20 -> f26 : A'=0, B'=0, C'=D, [ 0>=1+D && A==0 ], cost: 1 33.80/12.53 33.80/12.53 4: f20 -> f26 : A'=0, B'=0, C'=D, [ D>=1 && A==0 ], cost: 1 33.80/12.53 33.80/12.53 5: f26 -> f69 : [ C>=E ], cost: 1 33.80/12.53 33.80/12.53 6: f26 -> f33 : F'=free, [ 0>=1+free && E>=1+C ], cost: 1 33.80/12.53 33.80/12.53 7: f26 -> f33 : F'=free_1, [ free_1>=1 && E>=1+C ], cost: 1 33.80/12.53 33.80/12.53 8: f26 -> f33 : F'=0, G'=0, [ E>=1+C ], cost: 1 33.80/12.53 33.80/12.53 25: f26 -> f26 : C'=1+C, F'=0, G'=free_15, [ 0>=1+free_15 && E>=1+C ], cost: 1 33.80/12.53 33.80/12.53 26: f26 -> f26 : C'=1+C, F'=0, G'=free_16, [ free_16>=1 && E>=1+C ], cost: 1 33.80/12.53
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