details

property	value
status	complete
benchmark	ludcmp.c.i.ludcmp.pl.t2.fixed.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n045.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	13.7957019806 seconds
cpu usage	30.053025997
max memory	5.75377408E8

stage attributes

key	value
output-size	197801
starexec-result	WORST_CASE(Omega(n^1), O(n^1))

output

/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^1)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 1505 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 12.1 s] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f69(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f71(A, B, C, D, E, F, G, H, I, J, K)) :|: 0 >= L + 1 f69(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f71(A, B, C, D, E, F, G, H, I, J, K)) :|: L >= 1 f2(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f5(A, B, C, D, E, F, G, H, I, J, K)) :|: TRUE f5(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f9(A, B, 0, D, E, F, G, H, I, J, K)) :|: A >= B f9(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f9(A, B, C, D + 1, L, L, G, H, I, J, K)) :|: C >= L && A >= D f9(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f9(A, B, L, D + 1, L, L, G, H, I, J, K)) :|: L >= 1 + C && A >= D f23(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f26(A, B, C, D, E, F, G, H, I, J, K)) :|: A >= D f26(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f30(A, B, C, D, E, F, L, H, I, J, K)) :|: D >= B + 1 f30(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f30(A, B, C, D, E, F, G - L * M, H + 1, I, J, K)) :|: B >= H + 1 f40(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f44(A, B, C, D, E, F, L, H, I, J, K)) :|: A >= B f44(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f44(A, B, C, D, E, F, G - L * M, H + 1, I, J, K)) :|: D >= H + 1 f59(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f59(A, B, C, D, E, F, G, H + 1, L, J, K)) :|: A >= H f69(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f71(A, B, C, D, E, F, G, H, I, J, K)) :|: TRUE f71(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f74(A, B, C, D, E, F, G, H, L, J, K)) :|: A >= D + 1 f71(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f74(A, B, C, D, E, F, G, H, L, J, K)) :|: D >= 1 + A f74(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f74(A, B + 1, C, D, E, F, G, H, I, J, K)) :|: A >= B f71(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f23(A, B, C, A + 1, E, F, G, H, I, J, K)) :|: A >= D && A <= D f74(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f23(A, B, C, D + 1, E, F, G, H, I, J, K)) :|: B >= 1 + A f59(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f69(A, B, C, D, E, F, G, H, I, J, K)) :|: H >= 1 + A f44(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f40(A, B + 1, C, D, E, F, G, H, L * M, L, K)) :|: C >= L * M + 1 && H >= D f44(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f40(A, B + 1, L * M, D, E, F, G, H, L * M, M, B)) :|: L * M >= C && H >= D f40(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f59(A, B, C, D, E, F, G, H, I, J, K)) :|: B >= 1 + A && K >= D + 1 f40(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f59(A, B, C, D, E, F, G, H, I, J, K)) :|: B >= 1 + A && D >= 1 + K f40(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f69(A, B, C, D, E, F, G, H, I, J, D)) :|: B >= 1 + A && D >= K && D <= K f30(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f26(A, B + 1, C, D, E, F, G, H, I, J, K)) :|: H >= B f26(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f40(A, B, 0, D, E, F, G, H, I, J, K)) :|: B >= D f23(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f1(A, B, C, D, E, F, G, H, I, J, K)) :|: D >= 1 + A f9(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f5(A, B + 1, C, D, E, F, G, H, I, J, K)) :|: 0 >= C + 1 && D >= 1 + A f9(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f5(A, B + 1, C, D, E, F, G, H, I, J, K)) :|: C >= 1 && D >= 1 + A f9(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f5(A, B + 1, 0, D, E, F, G, H, I, J, K)) :|: D >= 1 + A && C >= 0 && C <= 0 f5(A, B, C, D, E, F, G, H, I, J, K) -> Com_1(f23(A, B, C, D, E, F, G, H, I, J, K)) :|: B >= 1 + A The start-symbols are:[f2_11] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 147*ar_0 + 144*ar_3 + 2*ar_1 + ar_7 + 152) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f69(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f71(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ 0 >= l + 1 ] (Comp: ?, Cost: 1) f69(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f71(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ l >= 1 ] (Comp: ?, Cost: 1) f2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) f5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f9(ar_0, ar_1, 0, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) f9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f9(ar_0, ar_1, ar_2, ar_3 + 1, l, l, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_2 >= l /\ ar_0 >= ar_3 ] (Comp: ?, Cost: 1) f9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f9(ar_0, ar_1, l, ar_3 + 1, l, l, ar_6, ar_7, ar_8, ar_9, ar_10)) [ l >= ar_2 + 1 /\ ar_0 >= ar_3 ] (Comp: ?, Cost: 1) f23(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) [ ar_0 >= ar_3 ] (Comp: ?, Cost: 1) f26(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10)) [ ar_3 >= ar_1 + 1 ] (Comp: ?, Cost: 1) f30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f30(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - l*m, ar_7 + 1, ar_8, ar_9, ar_10)) [ ar_1 >= ar_7 + 1 ] (Comp: ?, Cost: 1) f40(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f44(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, l, ar_7, ar_8, ar_9, ar_10)) [ ar_0 >= ar_1 ] (Comp: ?, Cost: 1) f44(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f44(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - l*m, ar_7 + 1, ar_8, ar_9, ar_10)) [ ar_3 >= ar_7 + 1 ] (Comp: ?, Cost: 1) f59(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f59(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7 + 1, l, ar_9, ar_10)) [ ar_0 >= ar_7 ] (Comp: ?, Cost: 1) f69(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f71(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10)) (Comp: ?, Cost: 1) f71(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f74(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10)) [ ar_0 >= ar_3 + 1 ] (Comp: ?, Cost: 1) f71(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, ar_8, ar_9, ar_10) -> Com_1(f74(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7, l, ar_9, ar_10)) [ ar_3 >= ar_0 + 1 ] popout

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

job log

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actions

all output return to Compl Integ Trans Syste 26843