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Complexity_ITS 2019-03-21 04.46 pair #429990626
details
property
value
status
complete
benchmark
fast_poll.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n165.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
15.6039 seconds
cpu usage
35.8099
user time
34.9809
system time
0.828977
max virtual memory
1.8940076E7
max residence set size
372100.0
stage attributes
key
value
starexec-result
WORST_CASE(NON_POLY, ?)
output
35.63/15.55 WORST_CASE(NON_POLY, ?) 35.63/15.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 35.63/15.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 35.63/15.57 35.63/15.57 35.63/15.57 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 35.63/15.57 35.63/15.57 (0) CpxIntTrs 35.63/15.57 (1) Loat Proof [FINISHED, 13.8 s] 35.63/15.57 (2) BOUNDS(INF, INF) 35.63/15.57 35.63/15.57 35.63/15.57 ---------------------------------------- 35.63/15.57 35.63/15.57 (0) 35.63/15.57 Obligation: 35.63/15.57 Complexity Int TRS consisting of the following rules: 35.63/15.57 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, F1, G1) -> Com_1(f80(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 35.63/15.57 f37(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(f41(A, B, B, H1, 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 >= B + 1 35.63/15.57 f37(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(f41(A, B, B, H1, 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 >= 1 35.63/15.57 f89(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(f48(A, B, C, D, E, H1, 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 >= 1 35.63/15.57 f61(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(f66(A, B, C, D, E, F, G, G, 0, H1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= G + 1 35.63/15.57 f61(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(f66(A, B, C, D, E, F, G, G, 0, H1, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: G >= 1 35.63/15.57 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(f84(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 >= I + 1 35.63/15.57 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(f84(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)) :|: I >= 1 35.63/15.57 f77(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(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, F1, G1)) :|: 0 >= K + 1 35.63/15.57 f77(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(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, F1, G1)) :|: K >= 1 35.63/15.57 f77(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, 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 35.63/15.57 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, F1, G1) -> Com_1(f80(A, B, C, D, E, F, G, H, 1, 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 >= A + 1 35.63/15.57 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, F1, G1) -> Com_1(f80(A, B, C, D, E, F, G, H, 1, 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 >= 1 35.63/15.57 f61(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(f89(A, B, C, D, E - 1, F, 0, 0, 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)) :|: G >= 0 && G <= 0 35.63/15.57 f84(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(f89(A, B, C, D, E - 1, F, G, H, 0, J, 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 35.63/15.57 f94(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(f94(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 35.63/15.57 f37(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(f94(A, 0, 0, D, E, F, G, H, I, J, K, 1, 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 35.63/15.57 f41(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(f94(A, B, C, 0, E, F, G, H, I, J, K, 1, 0, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: D >= 0 && D <= 0 35.63/15.57 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(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)) :|: TRUE 35.63/15.57 f89(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(f94(A, B, C, D, E, F, G, H, I, J, K, 1, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= E 35.63/15.57 f84(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(f89(A, B, C, D, E - 1, 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 >= I + 1 35.63/15.57 f84(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(f89(A, B, C, D, E - 1, 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)) :|: I >= 1 35.63/15.57 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(f84(A, B, C, D, E, F, G, H, 0, J, 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 35.63/15.57 f66(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(f84(A, B, C, D, E, F, G, H, I, J, K, L, M, J, H1, H1, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= H1 + 1 35.63/15.57 f66(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(f84(A, B, C, D, E, F, G, H, I, J, K, L, M, J, H1, H1, Q, R, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: H1 >= 1 35.63/15.57 f66(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, J, 0, 0, 0, 0, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: TRUE 35.63/15.57 f66(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(f77(A, B, C, D, E, F, G, H, I, J, K, L, M, J, 0, 0, H1, H1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= H1 + 1 35.63/15.57 f66(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(f77(A, B, C, D, E, F, G, H, I, J, K, L, M, J, 0, 0, H1, H1, S, T, U, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: H1 >= 1 35.63/15.57 f48(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(f89(A, B, C, D, E - 1, F, G, H, I, J, K, L, M, N, O, P, Q, R, F, 0, 0, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: F >= 0 35.63/15.57 f48(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(f89(A, B, C, D, E - 1, F, G, H, I, J, K, L, M, N, O, P, Q, R, F, 0, 0, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= 2 + F 35.63/15.57 f48(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(f94(A, B, C, D, E, F, G, H, I, J, K, 1, M, N, O, P, Q, R, F, H1, H1, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= H1 + 1 35.63/15.57 f48(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(f94(A, B, C, D, E, F, G, H, I, J, K, 1, M, N, O, P, Q, R, F, H1, H1, V, W, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: H1 >= 1 35.63/15.57 f48(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(f61(A, B, C, D, E, -(1), I1, H, I, J, K, L, M, N, O, P, Q, R, -(1), 0, 0, H1, H1, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= H1 + 1 && F + 1 >= 0 && F + 1 <= 0 35.63/15.57 f48(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(f61(A, B, C, D, E, -(1), I1, H, I, J, K, L, M, N, O, P, Q, R, -(1), 0, 0, H1, H1, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: H1 >= 1 && F + 1 >= 0 && F + 1 <= 0 35.63/15.57 f48(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(f89(A, B, C, D, E - 1, -(1), G, H, I, J, K, L, M, N, O, P, Q, R, -(1), 0, 0, 0, 0, X, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: F + 1 >= 0 && F + 1 <= 0 35.63/15.57 f41(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(f48(A, B, C, D, H1, I1, G, H, I, J, K, L, D, N, O, P, Q, R, S, T, U, V, W, H1, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: 0 >= D + 1 35.63/15.57 f41(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(f48(A, B, C, D, H1, I1, G, H, I, J, K, L, D, N, O, P, Q, R, S, T, U, V, W, H1, Y, Z, A1, B1, C1, D1, E1, F1, G1)) :|: D >= 1 35.63/15.57 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(f94(A, B, C, D, L1, F, G, H, I, J, K, 1, M, N, O, P, Q, R, S, T, U, V, W, X, H1, H1, I1, I1, J1, K1, K1, L1, G1)) :|: 0 >= I1 35.63/15.57 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(f37(A, N1, C, D, L1, F, G, H, I, J, K, J1, M, N, O, P, Q, R, S, T, U, V, W, X, H1, 5, I1, I1, J1, K1, K1, L1, M1)) :|: I1 >= 1 && 4 >= M1 35.63/15.57 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(f37(A, N1, C, D, M1, F, G, H, I, J, K, K1, M, N, O, P, Q, R, S, T, U, V, W, X, H1, I1, J1, J1, K1, L1, L1, M1, I1)) :|: J1 >= 1 && 20 >= I1 && I1 >= 5 35.63/15.57 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(f37(A, N1, C, D, L1, F, G, H, I, J, K, J1, M, N, O, P, Q, R, S, T, U, V, W, X, H1, 20, I1, I1, J1, K1, K1, L1, M1)) :|: I1 >= 1 && M1 >= 21 35.63/15.57 35.63/15.57 The start-symbols are:[f0_33] 35.63/15.57 35.63/15.57 35.63/15.57 ---------------------------------------- 35.63/15.57 35.63/15.57 (1) Loat Proof (FINISHED) 35.63/15.57 35.63/15.57 35.63/15.57 ### Pre-processing the ITS problem ### 35.63/15.57 35.63/15.57 35.63/15.57 35.63/15.57 Initial linear ITS problem 35.63/15.57 35.63/15.57 Start location: f0 35.63/15.57 35.63/15.57 0: f78 -> f80 : A'=0, [ A==0 ], cost: 1 35.63/15.57 35.63/15.57 11: f78 -> f80 : Q'=1, [ 0>=1+A ], cost: 1 35.63/15.57 35.63/15.57 12: f78 -> f80 : Q'=1, [ A>=1 ], cost: 1 35.63/15.57 35.63/15.57 1: f37 -> f41 : C'=B, D'=free, [ 0>=1+B ], cost: 1 35.63/15.57 35.63/15.57 2: f37 -> f41 : C'=B, D'=free_1, [ B>=1 ], cost: 1 35.63/15.57 35.63/15.57 16: f37 -> f94 : B'=0, C'=0, L'=1, [ B==0 ], cost: 1 35.63/15.57 35.63/15.57 3: f89 -> f48 : F'=free_2, [ E>=1 ], cost: 1 35.63/15.57 35.63/15.57 19: f89 -> f94 : L'=1, [ 0>=E ], cost: 1 35.63/15.57 35.63/15.57 4: f61 -> f66 : H'=G, Q'=0, J'=free_3, [ 0>=1+G ], cost: 1 35.63/15.57 35.63/15.57 5: f61 -> f66 : H'=G, Q'=0, J'=free_4, [ G>=1 ], cost: 1 35.63/15.57 35.63/15.57 13: f61 -> f89 : E'=-1+E, G'=0, H'=0, [ G==0 ], cost: 1 35.63/15.57 35.63/15.57 6: f80 -> f84 : [ 0>=1+Q ], cost: 1 35.63/15.57 35.63/15.57 7: f80 -> f84 : [ Q>=1 ], cost: 1
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