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Complexity_ITS 2019-03-21 04.46 pair #429990856
details
property
value
status
complete
benchmark
polling.bug.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
19.4264 seconds
cpu usage
45.6103
user time
44.5625
system time
1.04782
max virtual memory
1.9033956E7
max residence set size
459152.0
stage attributes
key
value
starexec-result
WORST_CASE(NON_POLY, ?)
output
45.41/19.36 WORST_CASE(NON_POLY, ?) 45.51/19.37 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 45.51/19.37 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 45.51/19.37 45.51/19.37 45.51/19.37 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 45.51/19.37 45.51/19.37 (0) CpxIntTrs 45.51/19.37 (1) Loat Proof [FINISHED, 17.5 s] 45.51/19.37 (2) BOUNDS(INF, INF) 45.51/19.37 45.51/19.37 45.51/19.37 ---------------------------------------- 45.51/19.37 45.51/19.37 (0) 45.51/19.37 Obligation: 45.51/19.37 Complexity Int TRS consisting of the following rules: 45.51/19.37 f81(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f83(0, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: A >= 0 && A <= 0 45.51/19.37 f34(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f39(A, B, 1, B, H1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= B + 1 45.51/19.37 f34(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f39(A, B, 1, B, H1, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: B >= 1 45.51/19.37 f39(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, E, 10, H1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= E + 1 45.51/19.37 f39(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, E, 10, H1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: E >= 1 45.51/19.37 f64(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f69(A, B, C, D, E, F, G, H, I, I, 0, H1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= I + 1 45.51/19.37 f64(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f69(A, B, C, D, E, F, G, H, I, I, 0, H1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: I >= 1 45.51/19.37 f83(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f87(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= K + 1 45.51/19.37 f83(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f87(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: K >= 1 45.51/19.37 f80(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f81(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= M + 1 45.51/19.37 f80(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f81(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: M >= 1 45.51/19.37 f80(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f83(A, B, C, D, E, F, G, H, I, J, K, L, 0, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: M >= 0 && M <= 0 45.51/19.37 f81(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f83(A, B, C, D, E, F, G, H, I, J, 1, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= A + 1 45.51/19.37 f81(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f83(A, B, C, D, E, F, G, H, I, J, 1, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: A >= 1 45.51/19.37 f56(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, F, G, H1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: N >= 0 45.51/19.37 f56(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, F, G, H1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= 2 + N 45.51/19.37 f64(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, F, G, H1, 0, 0, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: I >= 0 && I <= 0 45.51/19.37 f87(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, F, G, H1, I, J, 0, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: K >= 0 && K <= 0 45.51/19.37 f96(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f96(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: TRUE 45.51/19.37 f34(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f96(A, 0, 1, 0, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: B >= 0 && B <= 0 45.51/19.37 f39(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f96(A, B, 1, D, 0, 0, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: E >= 0 && E <= 0 45.51/19.37 f98(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f100(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: TRUE 45.51/19.37 f87(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, F, G, H1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= K + 1 45.51/19.37 f87(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, F, G, H1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: K >= 1 45.51/19.37 f83(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f87(A, B, C, D, E, F, G, H, I, J, 0, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: K >= 0 && K <= 0 45.51/19.37 f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f87(A, B, C, D, E, F, G, H, I, J, K, L, M, N, L, H1, H1, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= H1 + 1 45.51/19.37 f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f87(A, B, C, D, E, F, G, H, I, J, K, L, M, N, L, H1, H1, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: H1 >= 1 45.51/19.37 f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f83(A, B, C, D, E, F, G, H, I, J, K, L, M, N, L, 0, 0, 0, 0, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: TRUE 45.51/19.37 f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f80(A, B, C, D, E, F, G, H, I, J, K, L, M, N, L, 0, 0, H1, H1, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= H1 + 1 45.51/19.37 f69(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f80(A, B, C, D, E, F, G, H, I, J, K, L, M, N, L, 0, 0, H1, H1, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: H1 >= 1 45.51/19.37 f56(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f64(A, B, C, D, E, F, G, H, I1, J, K, L, M, -(1), O, P, Q, R, S, H1, H1, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= H1 + 1 && N + 1 >= 0 && N + 1 <= 0 45.51/19.37 f56(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f64(A, B, C, D, E, F, G, H, I1, J, K, L, M, -(1), O, P, Q, R, S, H1, H1, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: H1 >= 1 && N + 1 >= 0 && N + 1 <= 0 45.51/19.37 f56(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, F, G, H1, I, J, K, L, M, -(1), O, P, Q, R, S, 0, 0, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: N + 1 >= 0 && N + 1 <= 0 45.51/19.37 f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f56(A, B, C, D, E, F, G, H, I, J, K, L, M, H, O, P, Q, R, S, T, U, V, 0, 0, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= V + 1 45.51/19.37 f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f56(A, B, C, D, E, F, G, H, I, J, K, L, M, H, O, P, Q, R, S, T, U, V, 0, 0, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: V >= 1 45.51/19.37 f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, C, D, E, F, G, H1, I, J, K, L, M, H, O, P, Q, R, S, T, U, 0, 0, 0, 0, 0, A1, B1, C1, D1, E1, F1, G1)) :|: V >= 0 && V <= 0 45.51/19.37 f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, 0, D, E, F, G, H1, I, J, K, L, M, H, O, P, Q, R, S, T, U, 0, 0, 0, I1, I1, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= I1 + 1 && V >= 0 && V <= 0 45.51/19.37 f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f44(A, B, 0, D, E, F, G, H1, I, J, K, L, M, H, O, P, Q, R, S, T, U, 0, 0, 0, I1, I1, A1, B1, C1, D1, E1, F1, G1)) :|: I1 >= 1 && V >= 0 && V <= 0 45.51/19.37 f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f96(A, B, 1, D, E, F, G, H, I, J, K, L, M, H, O, P, Q, R, S, T, U, V, H1, H1, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= H1 + 1 45.51/19.37 f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f96(A, B, 1, D, E, F, G, H, I, J, K, L, M, H, O, P, Q, R, S, T, U, V, H1, H1, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: H1 >= 1 45.51/19.37 f0(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f96(A, B, 1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, K1, W, X, Y, Z, H1, H1, I1, I1, J1, K1, G1)) :|: 0 >= I1 45.51/19.37 f0(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f34(A, M1, J1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, K1, W, X, Y, Z, H1, 5, I1, I1, J1, K1, L1)) :|: I1 >= 1 && 4 >= L1 45.51/19.37 f0(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f34(A, M1, K1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, L1, W, X, Y, Z, H1, I1, J1, J1, K1, L1, I1)) :|: J1 >= 1 && 20 >= I1 && I1 >= 5 45.51/19.37 f0(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1) -> Com_1(f34(A, M1, J1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, K1, W, X, Y, Z, H1, 20, I1, I1, J1, K1, L1)) :|: I1 >= 1 && L1 >= 21 45.51/19.37 45.51/19.37 The start-symbols are:[f0_33] 45.51/19.37 45.51/19.37 45.51/19.37 ---------------------------------------- 45.51/19.37 45.51/19.37 (1) Loat Proof (FINISHED) 45.51/19.37 45.51/19.37 45.51/19.37 ### Pre-processing the ITS problem ### 45.51/19.37 45.51/19.37 45.51/19.37 45.51/19.37 Initial linear ITS problem 45.51/19.37 45.51/19.37 Start location: f0 45.51/19.37 45.51/19.37 0: f81 -> f83 : A'=0, [ A==0 ], cost: 1 45.51/19.37 45.51/19.37 12: f81 -> f83 : K'=1, [ 0>=1+A ], cost: 1 45.51/19.37 45.51/19.37 13: f81 -> f83 : K'=1, [ A>=1 ], cost: 1 45.51/19.37 45.51/19.37 1: f34 -> f39 : C'=1, D'=B, E'=free, [ 0>=1+B ], cost: 1 45.51/19.37 45.51/19.37 2: f34 -> f39 : C'=1, D'=B, E'=free_1, [ B>=1 ], cost: 1 45.51/19.37 45.51/19.37 19: f34 -> f96 : B'=0, C'=1, D'=0, [ B==0 ], cost: 1 45.51/19.37 45.51/19.37 3: f39 -> f44 : F'=E, G'=10, H'=free_2, [ 0>=1+E ], cost: 1 45.51/19.37 45.51/19.37 4: f39 -> f44 : F'=E, G'=10, H'=free_3, [ E>=1 ], cost: 1 45.51/19.37 45.51/19.37 20: f39 -> f96 : C'=1, E'=0, F'=0, [ E==0 ], cost: 1 45.51/19.37 45.51/19.37 5: f64 -> f69 : J'=Q, K'=0, L'=free_4, [ 0>=1+Q ], cost: 1 45.51/19.37 45.51/19.37 6: f64 -> f69 : J'=Q, K'=0, L'=free_5, [ Q>=1 ], cost: 1 45.51/19.37
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