details

property	value
status	complete
benchmark	zeroconf.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n049.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	66.6980948448 seconds
cpu usage	149.267107365
max memory	6.1554688E8

stage attributes

key	value
output-size	45197
starexec-result	MAYBE

output

/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). (0) CpxIntTrs (1) Loat Proof [FINISHED, 20.9 s] (2) BOUNDS(1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f0(A, B, C, D, E, F, G, H, I, J) -> Com_1(f15(1, 4, K, 0, L, 0, 0, 0, 0, 0)) :|: K >= 0 && L >= 0 f15(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A, B, C, D + 1, E, 0, 0, 0, 0, 0)) :|: 0 >= D && 0 >= C && B >= 1 && I >= 0 && I <= 0 f15(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A, B - 1, C, 0, E, K, 0, 0, 0, 0)) :|: D >= 1 && 0 >= C && K >= 0 && B >= 1 && 1 >= K && I >= 0 && I <= 0 f15(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A + 1, A + 4, K, 0, E, L, 0, 0, 0, 0)) :|: 0 >= C && L >= 0 && 1 >= L && 0 >= B && K >= 0 && I >= 0 && I <= 0 f15(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A, B, C - 1, D, E, K, 0, 0, 0, 0)) :|: C >= 1 && 1 >= K && K >= 0 && I >= 0 && I <= 0 f36(A, B, C, D, E, F, G, H, I, J) -> Com_1(f77(A, B, C, D, E, F, G, H, I, J)) :|: 0 >= H && J >= 1 + E f36(A, B, C, D, E, F, G, H, I, J) -> Com_1(f77(A, B, C, D, E, F, G, H, I, J)) :|: H >= 1 f36(A, B, C, D, E, F, G, H, I, J) -> Com_1(f48(A, B, C, D + 1, E, F, 0, H, I, J)) :|: E >= J && 0 >= H && 0 >= D && 0 >= C && B >= 1 f36(A, B, C, D, E, F, G, H, I, J) -> Com_1(f48(A, B - 1, C, 0, E, F, K, H, I, J)) :|: E >= J && 0 >= H && D >= 1 && 0 >= C && K >= 0 && B >= 1 && 1 >= K f36(A, B, C, D, E, F, G, H, I, J) -> Com_1(f48(A + 1, A + 4, K, 0, E, F, L, H, I, J)) :|: E >= J && 0 >= H && 0 >= C && L >= 0 && 1 >= L && 0 >= B && K >= 0 f36(A, B, C, D, E, F, G, H, I, J) -> Com_1(f48(A, B, C - 1, D, E, F, K, H, I, J)) :|: E >= J && 0 >= H && C >= 1 && 1 >= K && K >= 0 f48(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A, B, C, D, E, F, G, H, I, J + 1)) :|: 0 >= G f48(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A, B, C, D, E, F, G, H, I, J + 1)) :|: F >= 1 && G >= 1 f48(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A, B, C, D + 1, E, F, G, 0, I, J + 1)) :|: G >= 1 && 0 >= F && E + 1 >= A && 0 >= D && 0 >= C && B >= 1 f48(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A, B - 1, C, 0, E, F, G, K, I, J + 1)) :|: G >= 1 && 0 >= F && E + 1 >= A && D >= 1 && 0 >= C && K >= 0 && B >= 1 && 1 >= K f48(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A + 1, A + 4, K, 0, E, F, G, L, I, J + 1)) :|: G >= 1 && 0 >= F && E >= A && 0 >= C && L >= 0 && 1 >= L && 0 >= B && K >= 0 f48(A, B, C, D, E, F, G, H, I, J) -> Com_1(f36(A, B, C - 1, D, E, F, G, K, I, J + 1)) :|: G >= 1 && 0 >= F && E + 1 >= A && C >= 1 && 1 >= K && K >= 0 f77(A, B, C, D, E, F, G, H, I, J) -> Com_1(f15(A, B, C, D, E, F, G, H, I, J)) :|: H >= 1 f77(A, B, C, D, E, F, G, H, I, J) -> Com_1(f15(A, B, C, D, E, F, G, H, 1, J)) :|: 0 >= H f15(A, B, C, D, E, F, G, H, I, J) -> Com_1(f81(A, B, C, D, E, F, G, H, I, J)) :|: 0 >= I + 1 f15(A, B, C, D, E, F, G, H, I, J) -> Com_1(f81(A, B, C, D, E, F, G, H, I, J)) :|: I >= 1 The start-symbols are:[f0_10] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: f0 0: f0 -> f15 : A'=1, B'=4, C'=free_1, D'=0, E'=free, F'=0, G'=0, H'=0, Q'=0, J'=0, [ free_1>=0 && free>=0 ], cost: 1 1: f15 -> f36 : D'=1+D, F'=0, G'=0, H'=0, Q'=0, J'=0, [ 0>=D && 0>=C && B>=1 && Q==0 ], cost: 1 2: f15 -> f36 : B'=-1+B, D'=0, F'=free_2, G'=0, H'=0, Q'=0, J'=0, [ D>=1 && 0>=C && free_2>=0 && B>=1 && 1>=free_2 && Q==0 ], cost: 1 3: f15 -> f36 : A'=1+A, B'=4+A, C'=free_4, D'=0, F'=free_3, G'=0, H'=0, Q'=0, J'=0, [ 0>=C && free_3>=0 && 1>=free_3 && 0>=B && free_4>=0 && Q==0 ], cost: 1 4: f15 -> f36 : C'=-1+C, F'=free_5, G'=0, H'=0, Q'=0, J'=0, [ C>=1 && 1>=free_5 && free_5>=0 && Q==0 ], cost: 1 19: f15 -> f81 : [ 0>=1+Q ], cost: 1 20: f15 -> f81 : [ Q>=1 ], cost: 1 5: f36 -> f77 : [ 0>=H && J>=1+E ], cost: 1 6: f36 -> f77 : [ H>=1 ], cost: 1 7: f36 -> f48 : D'=1+D, G'=0, [ E>=J && 0>=H && 0>=D && 0>=C && B>=1 ], cost: 1 8: f36 -> f48 : B'=-1+B, D'=0, G'=free_6, [ E>=J && 0>=H && D>=1 && 0>=C && free_6>=0 && B>=1 && 1>=free_6 ], cost: 1 9: f36 -> f48 : A'=1+A, B'=4+A, C'=free_8, D'=0, G'=free_7, [ E>=J && 0>=H && 0>=C && free_7>=0 && 1>=free_7 && 0>=B && free_8>=0 ], cost: 1 10: f36 -> f48 : C'=-1+C, G'=free_9, [ E>=J && 0>=H && C>=1 && 1>=free_9 && free_9>=0 ], cost: 1 11: f48 -> f36 : J'=1+J, [ 0>=G ], cost: 1 12: f48 -> f36 : J'=1+J, [ F>=1 && G>=1 ], cost: 1 13: f48 -> f36 : D'=1+D, H'=0, J'=1+J, [ G>=1 && 0>=F && 1+E>=A && 0>=D && 0>=C && B>=1 ], cost: 1 14: f48 -> f36 : B'=-1+B, D'=0, H'=free_10, J'=1+J, [ G>=1 && 0>=F && 1+E>=A && D>=1 && 0>=C && free_10>=0 && B>=1 && 1>=free_10 ], cost: 1 15: f48 -> f36 : A'=1+A, B'=4+A, C'=free_12, D'=0, H'=free_11, J'=1+J, [ G>=1 && 0>=F && E>=A && 0>=C && free_11>=0 && 1>=free_11 && 0>=B && free_12>=0 ], cost: 1 16: f48 -> f36 : C'=-1+C, H'=free_13, J'=1+J, [ G>=1 && 0>=F && 1+E>=A && C>=1 && 1>=free_13 && free_13>=0 ], cost: 1 17: f77 -> f15 : [ H>=1 ], cost: 1 popout

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actions

all output return to Compl Integ Trans Syste 26843