details

property	value
status	complete
benchmark	ex17.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	1.64614009857 seconds
cpu usage	3.629302353
max memory	2.91217408E8

stage attributes

key	value
output-size	7652
starexec-result	WORST_CASE(?, O(1))

output

/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 18 ms] (2) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f0(A, B, C, D, E, F, G) -> Com_1(f5(0, B, C, D, E, F, G)) :|: TRUE f5(A, B, C, D, E, F, G) -> Com_1(f5(A + 1, B, C, D, E, F, G)) :|: 99 >= A f17(A, B, C, D, E, F, G) -> Com_1(f17(A, B, C, D, E, F, G)) :|: TRUE f17(A, B, C, D, E, F, G) -> Com_1(f17(A, B + 1, C, D, E, F, G)) :|: 0 >= H + 1 f17(A, B, C, D, E, F, G) -> Com_1(f17(A, B + 1, C, D, E, F, G)) :|: TRUE f32(A, B, C, D, E, F, G) -> Com_1(f32(A, B, C, D, E, F, G)) :|: TRUE f32(A, B, C, D, E, F, G) -> Com_1(f32(A, B, C + 1, D, E, F, G)) :|: 0 >= H + 1 f32(A, B, C, D, E, F, G) -> Com_1(f32(A, B, C + 1, D, E, F, G)) :|: TRUE f32(A, B, C, D, E, F, G) -> Com_1(f13(A, B, C, C, C, F, G)) :|: TRUE f17(A, B, C, D, E, F, G) -> Com_1(f32(A, B, B, B, E, B, H)) :|: 0 >= I + 1 f17(A, B, C, D, E, F, G) -> Com_1(f32(A, B, B, B, E, B, H)) :|: TRUE f17(A, B, C, D, E, F, G) -> Com_1(f13(A, B, C, B, E, B, H)) :|: TRUE f5(A, B, C, D, E, F, G) -> Com_1(f13(A, B, C, A - 2, E, F, G)) :|: A >= 100 f5(A, B, C, D, E, F, G) -> Com_1(f17(A, A - 2, C, A - 2, E, F, G)) :|: 0 >= A + 1 && A >= 100 The start-symbols are:[f0_7] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 102) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) f0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f5(0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) f5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f5(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 99 >= ar_0 ] (Comp: ?, Cost: 1) f17(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f17(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) f17(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f17(ar_0, ar_1 + 1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= h + 1 ] (Comp: ?, Cost: 1) f17(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f17(ar_0, ar_1 + 1, ar_2, ar_3, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) f32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) f32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f32(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) [ 0 >= h + 1 ] (Comp: ?, Cost: 1) f32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f32(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) f32(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f13(ar_0, ar_1, ar_2, ar_2, ar_2, ar_5, ar_6)) (Comp: ?, Cost: 1) f17(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f32(ar_0, ar_1, ar_1, ar_1, ar_4, ar_1, h)) [ 0 >= i + 1 ] (Comp: ?, Cost: 1) f17(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f32(ar_0, ar_1, ar_1, ar_1, ar_4, ar_1, h)) (Comp: ?, Cost: 1) f17(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f13(ar_0, ar_1, ar_2, ar_1, ar_4, ar_1, h)) (Comp: ?, Cost: 1) f5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f13(ar_0, ar_1, ar_2, ar_0 - 2, ar_4, ar_5, ar_6)) [ ar_0 >= 100 ] (Comp: ?, Cost: 1) f5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f17(ar_0, ar_0 - 2, ar_2, ar_0 - 2, ar_4, ar_5, ar_6)) [ 0 >= ar_0 + 1 /\ ar_0 >= 100 ] (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(f0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Slicing away variables that do not contribute to conditions from problem 1 leaves variables [ar_0]. We thus obtain the following problem: 2: T: (Comp: 1, Cost: 0) koat_start(ar_0) -> Com_1(f0(ar_0)) [ 0 <= 0 ] (Comp: ?, Cost: 1) f5(ar_0) -> Com_1(f17(ar_0)) [ 0 >= ar_0 + 1 /\ ar_0 >= 100 ] (Comp: ?, Cost: 1) f5(ar_0) -> Com_1(f13(ar_0)) [ ar_0 >= 100 ] popout

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job log

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actions

all output return to Compl Integ Trans Syste 26843