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	n130.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	19.1947 seconds
cpu usage	44.3924
user time	43.3616
system time	1.03079
max virtual memory	1.8912612E7
max residence set size	402204.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

44.28/19.13 WORST_CASE(NON_POLY, ?) 44.28/19.14 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 44.28/19.14 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 44.28/19.14 44.28/19.14 44.28/19.14 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 44.28/19.14 44.28/19.14 (0) CpxIntTrs 44.28/19.14 (1) Loat Proof [FINISHED, 17.2 s] 44.28/19.14 (2) BOUNDS(INF, INF) 44.28/19.14 44.28/19.14 44.28/19.14 ---------------------------------------- 44.28/19.14 44.28/19.14 (0) 44.28/19.14 Obligation: 44.28/19.14 Complexity Int TRS consisting of the following rules: 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 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 44.28/19.14 44.28/19.14 The start-symbols are:[f0_31] 44.28/19.14 44.28/19.14 44.28/19.14 ---------------------------------------- 44.28/19.14 44.28/19.14 (1) Loat Proof (FINISHED) 44.28/19.14 44.28/19.14 44.28/19.14 ### Pre-processing the ITS problem ### 44.28/19.14 44.28/19.14 44.28/19.14 44.28/19.14 Initial linear ITS problem 44.28/19.14 44.28/19.14 Start location: f0 44.28/19.14 44.28/19.14 0: f76 -> f78 : A'=0, [ A==0 ], cost: 1 44.28/19.14 44.28/19.14 12: f76 -> f78 : K'=1, [ 0>=1+A ], cost: 1 44.28/19.14 44.28/19.14 13: f76 -> f78 : K'=1, [ A>=1 ], cost: 1 44.28/19.14 44.28/19.14 1: f34 -> f39 : C'=1, D'=B, E'=free, [ 0>=1+B ], cost: 1 44.28/19.14 44.28/19.14 2: f34 -> f39 : C'=1, D'=B, E'=free_1, [ B>=1 ], cost: 1 44.28/19.14 44.28/19.14 19: f34 -> f91 : B'=0, C'=1, D'=0, [ B==0 ], cost: 1 44.28/19.14 44.28/19.14 3: f39 -> f44 : F'=E, G'=10, H'=free_2, [ 0>=1+E ], cost: 1 44.28/19.14 44.28/19.14 4: f39 -> f44 : F'=E, G'=10, H'=free_3, [ E>=1 ], cost: 1 44.28/19.14 44.28/19.14 20: f39 -> f91 : C'=1, E'=0, F'=0, [ E==0 ], cost: 1 44.28/19.14 44.28/19.14 5: f59 -> f64 : J'=Q, K'=0, L'=free_4, [ 0>=1+Q ], cost: 1 44.28/19.14 44.28/19.14 6: f59 -> f64 : J'=Q, K'=0, L'=free_5, [ Q>=1 ], cost: 1 44.28/19.14 44.28/19.14 16: f59 -> f44 : H'=free_8, Q'=0, J'=0, [ Q==0 ], cost: 1 44.28/19.14 popout

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

job log

popout

actions

all output return to Complexity_ITS 2019-03-21 04.46