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	n086.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	15.4635460377 seconds
cpu usage	35.515243487
max memory	6.53664256E8

stage attributes

key	value
output-size	209843
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF).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, 13.7 s] (2) BOUNDS(INF, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 The start-symbols are:[f0_33] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: f0 0: f78 -> f80 : A'=0, [ A==0 ], cost: 1 11: f78 -> f80 : Q'=1, [ 0>=1+A ], cost: 1 12: f78 -> f80 : Q'=1, [ A>=1 ], cost: 1 1: f37 -> f41 : C'=B, D'=free, [ 0>=1+B ], cost: 1 2: f37 -> f41 : C'=B, D'=free_1, [ B>=1 ], cost: 1 16: f37 -> f94 : B'=0, C'=0, L'=1, [ B==0 ], cost: 1 3: f89 -> f48 : F'=free_2, [ E>=1 ], cost: 1 19: f89 -> f94 : L'=1, [ 0>=E ], cost: 1 4: f61 -> f66 : H'=G, Q'=0, J'=free_3, [ 0>=1+G ], cost: 1 5: f61 -> f66 : H'=G, Q'=0, J'=free_4, [ G>=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