details

property	value
status	complete
benchmark	sas2.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n055.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	38.7476730347 seconds
cpu usage	66.878688464
max memory	5.55225088E8

stage attributes

key	value
output-size	23691
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF).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, 17.8 s] (2) BOUNDS(1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f5(A, B, C, D, E, F) -> Com_1(f7(A, B, C, D, E, F)) :|: 0 >= A f5(A, B, C, D, E, F) -> Com_1(f7(A, B, C, D, E, F)) :|: A >= 2 f7(A, B, C, D, E, F) -> Com_1(f9(A, 0, C, D, E, F)) :|: B >= 0 && B <= 0 f16(A, B, C, D, E, F) -> Com_1(f5(A, B, C, G, E, F)) :|: 255 >= C f25(A, B, C, D, E, F) -> Com_1(f5(A, B, C, G, E, F)) :|: C >= 0 f0(A, B, C, D, E, F) -> Com_1(f5(4, 0, C, G, 0, F)) :|: TRUE f7(A, B, C, D, E, F) -> Com_1(f9(A - 1, B, C, D, E, F)) :|: 0 >= B + 1 f7(A, B, C, D, E, F) -> Com_1(f9(A - 1, B, C, D, E, F)) :|: B >= 1 f9(A, B, C, D, E, F) -> Com_1(f16(A, B, C + A, D, 2, F)) :|: 0 >= E && D >= 1 + F f9(A, B, C, D, E, F) -> Com_1(f16(A, B, C + A, D, 2, F)) :|: E >= 2 && D >= 1 + F f9(A, B, C, D, E, F) -> Com_1(f16(A, B, C + A, D, 2, F)) :|: 0 >= B + 1 && D >= 1 + F && E >= 1 && E <= 1 f9(A, B, C, D, E, F) -> Com_1(f16(A, B, C + A, D, 2, F)) :|: B >= 1 && D >= 1 + F && E >= 1 && E <= 1 f9(A, B, C, D, E, F) -> Com_1(f16(A - 1, 1, C + A - 1, D, 2, F)) :|: D >= 1 + F && B >= 0 && B <= 0 && E >= 1 && E <= 1 f9(A, B, C, D, E, F) -> Com_1(f25(A, B, C - A, D, 1, F)) :|: 1 >= E && F >= D + 1 f9(A, B, C, D, E, F) -> Com_1(f25(A, B, C - A, D, 1, F)) :|: E >= 3 && F >= D + 1 f9(A, B, C, D, E, F) -> Com_1(f25(A, B, C - A, D, 1, F)) :|: 0 >= B + 1 && F >= D + 1 && E >= 2 && E <= 2 f9(A, B, C, D, E, F) -> Com_1(f25(A, B, C - A, D, 1, F)) :|: B >= 1 && F >= D + 1 && E >= 2 && E <= 2 f9(A, B, C, D, E, F) -> Com_1(f25(A - 1, 1, C - A + 1, D, 1, F)) :|: F >= D + 1 && B >= 0 && B <= 0 && E >= 2 && E <= 2 f5(A, B, C, D, E, F) -> Com_1(f30(1, B, C, D, E, F)) :|: A >= 1 && A <= 1 f16(A, B, C, D, E, F) -> Com_1(f30(A, B, C, D, E, F)) :|: C >= 256 f25(A, B, C, D, E, F) -> Com_1(f30(A, B, C, D, E, F)) :|: 0 >= C + 1 f9(A, B, C, D, E, F) -> Com_1(f30(A, B, C, D, E, D)) :|: D >= F && D <= F The start-symbols are:[f0_6] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: f0 0: f5 -> f7 : [ 0>=A ], cost: 1 1: f5 -> f7 : [ A>=2 ], cost: 1 18: f5 -> f30 : A'=1, [ A==1 ], cost: 1 2: f7 -> f9 : B'=0, [ B==0 ], cost: 1 6: f7 -> f9 : A'=-1+A, [ 0>=1+B ], cost: 1 7: f7 -> f9 : A'=-1+A, [ B>=1 ], cost: 1 3: f16 -> f5 : D'=free, [ 255>=C ], cost: 1 19: f16 -> f30 : [ C>=256 ], cost: 1 4: f25 -> f5 : D'=free_1, [ C>=0 ], cost: 1 20: f25 -> f30 : [ 0>=1+C ], cost: 1 5: f0 -> f5 : A'=4, B'=0, D'=free_2, E'=0, [], cost: 1 8: f9 -> f16 : C'=C+A, E'=2, [ 0>=E && D>=1+F ], cost: 1 9: f9 -> f16 : C'=C+A, E'=2, [ E>=2 && D>=1+F ], cost: 1 10: f9 -> f16 : C'=C+A, E'=2, [ 0>=1+B && D>=1+F && E==1 ], cost: 1 11: f9 -> f16 : C'=C+A, E'=2, [ B>=1 && D>=1+F && E==1 ], cost: 1 12: f9 -> f16 : A'=-1+A, B'=1, C'=-1+C+A, E'=2, [ D>=1+F && B==0 && E==1 ], cost: 1 13: f9 -> f25 : C'=C-A, E'=1, [ 1>=E && F>=1+D ], cost: 1 14: f9 -> f25 : C'=C-A, E'=1, [ E>=3 && F>=1+D ], cost: 1 15: f9 -> f25 : C'=C-A, E'=1, [ 0>=1+B && F>=1+D && E==2 ], cost: 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