details

property	value
status	complete
benchmark	fourn.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	21.3753 seconds
cpu usage	54.3946
user time	52.8125
system time	1.58205
max virtual memory	1.9065832E7
max residence set size	440560.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

54.16/18.44 WORST_CASE(NON_POLY, ?) 54.34/18.98 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 54.34/18.98 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 54.34/18.98 54.34/18.98 54.34/18.98 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 54.34/18.98 54.34/18.98 (0) CpxIntTrs 54.34/18.98 (1) Loat Proof [FINISHED, 16.7 s] 54.34/18.98 (2) BOUNDS(INF, INF) 54.34/18.98 54.34/18.98 54.34/18.98 ---------------------------------------- 54.34/18.98 54.34/18.98 (0) 54.34/18.98 Obligation: 54.34/18.98 Complexity Int TRS consisting of the following rules: 54.34/18.98 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) -> Com_1(f0(A, B + 1, B1, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: A >= B 54.34/18.98 f17(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) -> Com_1(f25(A, B, C, B1, C1, D1, E1, F1, 1, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: B >= 1 54.34/18.98 f25(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) -> Com_1(f28(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)) :|: G >= J && I >= J + 1 54.34/18.98 f28(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) -> Com_1(f30(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)) :|: J + F >= 2 + K 54.34/18.98 f30(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) -> Com_1(f30(A, B, C, D, E, F, G, H, I, J, K, L + G, I + L - J, B1, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: H >= L 54.34/18.98 f25(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) -> Com_1(f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, B1, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: G >= J && J >= I 54.34/18.98 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) -> Com_1(f44(A, B, C, D, E, F, G, H, I - O, J, K, L, M, N, B1, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: O >= F && I >= 1 + O 54.34/18.98 f55(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) -> Com_1(f64(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, B1, C1, D1, E1, F1, 1, 0, X, Y, Z, A1)) :|: G >= P + 1 54.34/18.98 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) -> Com_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)) :|: P >= L 54.34/18.98 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) -> Com_1(f68(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)) :|: L + F >= 2 + K 54.34/18.98 f68(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) -> Com_1(f68(A, B, C, D, E, F, G, H, I, J + Q, K, L, M, B1, O, P, Q, R, S, T, U, V, W, J, J + P, C1, A1)) :|: H >= J 54.34/18.98 f68(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) -> Com_1(f66(A, B, C, D, E, F, G, H, I, J, K + 2, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: J >= 1 + H 54.34/18.98 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) -> Com_1(f64(A, B, C, D, E, F, G, H, I, J, K, L + F, M, N, O, P, Q, R, V, T, U, B1, C1, X, Y, Z, A1)) :|: K + 1 >= L + F 54.34/18.98 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) -> Com_1(f55(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, Q, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: L >= 1 + P 54.34/18.98 f55(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) -> Com_1(f17(A, B - 1, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, B1)) :|: P >= G 54.34/18.98 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) -> Com_1(f25(A, B, C, D, E, F, G, H, I + O, J + F, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: O >= F && O >= I 54.34/18.98 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) -> Com_1(f25(A, B, C, D, E, F, G, H, I + O, J + F, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: F >= O + 1 54.34/18.98 f30(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) -> Com_1(f28(A, B, C, D, E, F, G, H, I, J, K + 2, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: L >= 1 + H 54.34/18.98 f28(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) -> Com_1(f44(A, B, C, D, E, F, G, H, I, J, K, L, M, N, B1, P, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: K + 1 >= J + F 54.34/18.98 f25(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) -> Com_1(f55(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, F, Q, R, S, T, U, V, W, X, Y, Z, A1)) :|: J >= 1 + G 54.34/18.98 f17(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) -> Com_1(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)) :|: 0 >= B 54.34/18.98 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) -> Com_1(f17(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, 1)) :|: B >= 1 + A 54.34/18.98 start(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) -> Com_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)) :|: TRUE 54.34/18.98 54.34/18.98 The start-symbols are:[start_27] 54.34/18.98 54.34/18.98 54.34/18.98 ---------------------------------------- 54.34/18.98 54.34/18.98 (1) Loat Proof (FINISHED) 54.34/18.98 54.34/18.98 54.34/18.98 ### Pre-processing the ITS problem ### 54.34/18.98 54.34/18.98 54.34/18.98 54.34/18.98 Initial linear ITS problem 54.34/18.98 54.34/18.98 Start location: start 54.34/18.98 54.34/18.98 0: f0 -> f0 : B'=1+B, C'=free, [ A>=B ], cost: 1 54.34/18.98 54.34/18.98 21: f0 -> f17 : A1'=1, [ B>=1+A ], cost: 1 54.34/18.98 54.34/18.98 1: f17 -> f25 : D'=free_4, E'=free_2, F'=free_5, G'=free_3, H'=free_1, Q'=1, [ B>=1 ], cost: 1 54.34/18.98 54.34/18.98 20: f17 -> f93 : A1'=B, B'=C, B1'=D, C'=E, C1'=F, D'=G, D1'=H, E'=Q, E1'=J, F'=K, F1'=L, G'=M, H'=N, Q'=O, J'=P, K'=Q_1, L'=R, M'=S, N'=T, O'=U, P'=V, Q_1'=W, R'=X, S'=Y, T'=Z, U'=A1, [ 0>=B ], cost: 1 54.34/18.98 54.34/18.98 2: f25 -> f28 : [ G>=J && Q>=1+J ], cost: 1 54.34/18.98 54.34/18.98 5: f25 -> f44 : O'=free_7, [ G>=J && J>=Q ], cost: 1 54.34/18.98 54.34/18.98 19: f25 -> f55 : P'=F, [ J>=1+G ], cost: 1 54.34/18.98 54.34/18.98 3: f28 -> f30 : [ J+F>=2+K ], cost: 1 54.34/18.98 54.34/18.98 18: f28 -> f44 : O'=free_19, [ 1+K>=J+F ], cost: 1 54.34/18.98 54.34/18.98 4: f30 -> f30 : L'=G+L, M'=-J+L+Q, N'=free_6, [ H>=L ], cost: 1 54.34/18.98 54.34/18.98 17: f30 -> f28 : K'=2+K, [ L>=1+H ], cost: 1 54.34/18.98 54.34/18.98 6: f44 -> f44 : Q'=-O+Q, O'=free_8, [ O>=F && Q>=1+O ], cost: 1 54.34/18.98 54.34/18.98 15: f44 -> f25 : Q'=O+Q, J'=J+F, [ O>=F && O>=Q ], cost: 1 54.34/18.98 54.34/18.98 16: f44 -> f25 : Q'=O+Q, J'=J+F, [ F>=1+O ], cost: 1 54.34/18.98 54.34/18.98 7: f55 -> f64 : Q_1'=free_12, R'=free_10, S'=free_13, T'=free_11, U'=free_9, V'=1, W'=0, [ G>=1+P ], cost: 1 54.34/18.98 54.34/18.98 14: f55 -> f17 : A1'=free_18, B'=-1+B, [ P>=G ], cost: 1 54.34/18.98 54.34/18.98 8: f64 -> f66 : [ P>=L ], cost: 1 54.34/18.98 54.34/18.98 13: f64 -> f55 : P'=Q_1, [ L>=1+P ], cost: 1 54.34/18.98 54.34/18.98 9: f66 -> f68 : [ F+L>=2+K ], cost: 1 54.34/18.98 54.34/18.98 12: f66 -> f64 : L'=F+L, S'=V, V'=free_17, W'=free_16, [ 1+K>=F+L ], cost: 1 54.34/18.98 54.34/18.98 10: f68 -> f68 : J'=J+Q_1, N'=free_15, X'=J, Y'=P+J, Z'=free_14, [ H>=J ], cost: 1 54.34/18.98 54.34/18.98 11: f68 -> f66 : K'=2+K, [ J>=1+H ], cost: 1 popout

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all output return to Complexity_ITS 2019-03-21 04.46