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	n006.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	19.1307280064 seconds
cpu usage	44.837375834
max memory	7.33188096E8

stage attributes

key	value
output-size	371276
starexec-result	WORST_CASE(NON_POLY, ?)

output

/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). (0) CpxIntTrs (1) Loat Proof [FINISHED, 17.4 s] (2) BOUNDS(INF, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 The start-symbols are:[f0_33] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: f0 0: f81 -> f83 : A'=0, [ A==0 ], cost: 1 12: f81 -> f83 : K'=1, [ 0>=1+A ], cost: 1 13: f81 -> f83 : K'=1, [ A>=1 ], cost: 1 1: f34 -> f39 : C'=1, D'=B, E'=free, [ 0>=1+B ], cost: 1 2: f34 -> f39 : C'=1, D'=B, E'=free_1, [ B>=1 ], cost: 1 19: f34 -> f96 : B'=0, C'=1, D'=0, [ B==0 ], cost: 1 3: f39 -> f44 : F'=E, G'=10, H'=free_2, [ 0>=1+E ], cost: 1 4: f39 -> f44 : F'=E, G'=10, H'=free_3, [ E>=1 ], cost: 1 popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Compl Integ Trans Syste 26843