Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Compl Integ Trans Syste 26843 pair #381745298
details
property
value
status
complete
benchmark
polling.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
18.6465380192 seconds
cpu usage
43.573266809
max memory
6.78027264E8
stage attributes
key
value
output-size
364137
starexec-result
WORST_CASE(NON_POLY, ?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF).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, 16.9 s] (2) BOUNDS(INF, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f76(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) -> Com_1(f78(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)) :|: 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) -> Com_1(f39(A, B, 1, B, F1, 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)) :|: 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) -> Com_1(f39(A, B, 1, B, F1, 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)) :|: 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) -> Com_1(f44(A, B, C, D, E, E, 10, F1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: 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) -> Com_1(f44(A, B, C, D, E, E, 10, F1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: E >= 1 f59(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) -> Com_1(f64(A, B, C, D, E, F, G, H, I, I, 0, F1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: 0 >= I + 1 f59(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) -> Com_1(f64(A, B, C, D, E, F, G, H, I, I, 0, F1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: I >= 1 f78(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) -> Com_1(f82(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)) :|: 0 >= K + 1 f78(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) -> Com_1(f82(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)) :|: K >= 1 f75(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) -> Com_1(f76(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)) :|: 0 >= M + 1 f75(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) -> Com_1(f76(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)) :|: M >= 1 f75(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) -> Com_1(f78(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)) :|: M >= 0 && M <= 0 f76(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) -> Com_1(f78(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)) :|: 0 >= A + 1 f76(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) -> Com_1(f78(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)) :|: A >= 1 f51(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) -> Com_1(f44(A, B, C, D, E, F, G, F1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: N >= 0 f51(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) -> Com_1(f44(A, B, C, D, E, F, G, F1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: 0 >= 2 + N f59(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) -> Com_1(f44(A, B, C, D, E, F, G, F1, 0, 0, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: I >= 0 && I <= 0 f82(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) -> Com_1(f44(A, B, C, D, E, F, G, F1, I, J, 0, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: K >= 0 && K <= 0 f91(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) -> Com_1(f91(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)) :|: 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) -> Com_1(f91(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)) :|: 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) -> Com_1(f91(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)) :|: E >= 0 && E <= 0 f93(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) -> Com_1(f95(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)) :|: TRUE f82(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) -> Com_1(f44(A, B, C, D, E, F, G, F1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: 0 >= K + 1 f82(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) -> Com_1(f44(A, B, C, D, E, F, G, F1, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: K >= 1 f78(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) -> Com_1(f82(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)) :|: K >= 0 && K <= 0 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) -> Com_1(f82(A, B, C, D, E, F, G, H, I, J, K, L, M, N, L, F1, F1, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: 0 >= F1 + 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) -> Com_1(f82(A, B, C, D, E, F, G, H, I, J, K, L, M, N, L, F1, F1, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: F1 >= 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) -> Com_1(f78(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)) :|: TRUE 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) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, L, 0, 0, F1, F1, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: 0 >= F1 + 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) -> Com_1(f75(A, B, C, D, E, F, G, H, I, J, K, L, M, N, L, 0, 0, F1, F1, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: F1 >= 1 f51(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) -> Com_1(f59(A, B, C, D, E, F, G, H, G1, J, K, L, M, -(1), O, P, Q, R, S, F1, F1, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: 0 >= F1 + 1 && N + 1 >= 0 && N + 1 <= 0 f51(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) -> Com_1(f59(A, B, C, D, E, F, G, H, G1, J, K, L, M, -(1), O, P, Q, R, S, F1, F1, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: F1 >= 1 && N + 1 >= 0 && N + 1 <= 0 f51(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) -> Com_1(f44(A, B, C, D, E, F, G, F1, I, J, K, L, M, -(1), O, P, Q, R, S, 0, 0, V, W, X, Y, Z, A1, B1, C1, D1, E1)) :|: 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) -> Com_1(f51(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)) :|: 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) -> Com_1(f51(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)) :|: 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) -> Com_1(f44(A, B, C, D, E, F, G, F1, I, J, K, L, M, H, O, P, Q, R, S, T, U, 0, 0, 0, Y, Z, A1, B1, C1, D1, E1)) :|: 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) -> Com_1(f91(A, B, 1, D, E, F, G, H, I, J, K, L, M, H, O, P, Q, R, S, T, U, V, F1, F1, Y, Z, A1, B1, C1, D1, E1)) :|: 0 >= F1 + 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) -> Com_1(f91(A, B, 1, D, E, F, G, H, I, J, K, L, M, H, O, P, Q, R, S, T, U, V, F1, F1, Y, Z, A1, B1, C1, D1, E1)) :|: F1 >= 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) -> Com_1(f91(A, B, 1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, I1, W, X, F1, F1, G1, G1, H1, I1, E1)) :|: 0 >= G1 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) -> Com_1(f34(A, K1, H1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, I1, W, X, F1, 5, G1, G1, H1, I1, J1)) :|: G1 >= 1 && 4 >= J1 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) -> Com_1(f34(A, K1, I1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, J1, W, X, F1, G1, H1, H1, I1, J1, G1)) :|: H1 >= 1 && 20 >= G1 && G1 >= 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) -> Com_1(f34(A, K1, H1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, I1, W, X, F1, 20, G1, G1, H1, I1, J1)) :|: G1 >= 1 && J1 >= 21 The start-symbols are:[f0_31] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: f0 0: f76 -> f78 : A'=0, [ A==0 ], cost: 1 12: f76 -> f78 : K'=1, [ 0>=1+A ], cost: 1 13: f76 -> f78 : 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 -> f91 : 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 20: f39 -> f91 : C'=1, E'=0, F'=0, [ E==0 ], 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