details

property	value
status	complete
benchmark	loop_on_input.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n135.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.04233 seconds
cpu usage	4.25702
user time	3.97864
system time	0.278378
max virtual memory	1.84423E7
max residence set size	217152.0

stage attributes

key	value
starexec-result	MAYBE

output

4.20/2.01 MAYBE 4.20/2.01 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 4.20/2.01 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.20/2.01 4.20/2.01 4.20/2.01 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 4.20/2.01 4.20/2.01 (0) CpxIntTrs 4.20/2.01 (1) Loat Proof [FINISHED, 314 ms] 4.20/2.01 (2) BOUNDS(1, INF) 4.20/2.01 4.20/2.01 4.20/2.01 ---------------------------------------- 4.20/2.01 4.20/2.01 (0) 4.20/2.01 Obligation: 4.20/2.01 Complexity Int TRS consisting of the following rules: 4.20/2.01 f0(A) -> Com_1(f4(B)) :|: TRUE 4.20/2.01 f4(A) -> Com_1(f4(A + 1)) :|: 3 >= A && A >= 1 4.20/2.01 f4(A) -> Com_1(f4(1)) :|: 0 >= A && 3 >= A 4.20/2.01 f4(A) -> Com_1(f12(A)) :|: A >= 4 4.20/2.01 4.20/2.01 The start-symbols are:[f0_1] 4.20/2.01 4.20/2.01 4.20/2.01 ---------------------------------------- 4.20/2.01 4.20/2.01 (1) Loat Proof (FINISHED) 4.20/2.01 4.20/2.01 4.20/2.01 ### Pre-processing the ITS problem ### 4.20/2.01 4.20/2.01 4.20/2.01 4.20/2.01 Initial linear ITS problem 4.20/2.01 4.20/2.01 Start location: f0 4.20/2.01 4.20/2.01 0: f0 -> f4 : A'=free, [], cost: 1 4.20/2.01 4.20/2.01 1: f4 -> f4 : A'=1+A, [ 3>=A && A>=1 ], cost: 1 4.20/2.01 4.20/2.01 2: f4 -> f4 : A'=1, [ 0>=A && 3>=A ], cost: 1 4.20/2.01 4.20/2.01 3: f4 -> f12 : [ A>=4 ], cost: 1 4.20/2.01 4.20/2.01 4.20/2.01 4.20/2.01 Removed unreachable and leaf rules: 4.20/2.01 4.20/2.01 Start location: f0 4.20/2.02 4.20/2.02 0: f0 -> f4 : A'=free, [], cost: 1 4.20/2.02 4.20/2.02 1: f4 -> f4 : A'=1+A, [ 3>=A && A>=1 ], cost: 1 4.20/2.02 4.20/2.02 2: f4 -> f4 : A'=1, [ 0>=A && 3>=A ], cost: 1 4.20/2.02 4.20/2.02 4.20/2.02 4.20/2.02 Simplified all rules, resulting in: 4.20/2.02 4.20/2.02 Start location: f0 4.20/2.02 4.20/2.02 0: f0 -> f4 : A'=free, [], cost: 1 4.20/2.02 4.20/2.02 1: f4 -> f4 : A'=1+A, [ 3>=A && A>=1 ], cost: 1 4.20/2.02 4.20/2.02 2: f4 -> f4 : A'=1, [ 0>=A ], cost: 1 4.20/2.02 4.20/2.02 4.20/2.02 4.20/2.02 ### Simplification by acceleration and chaining ### 4.20/2.02 4.20/2.02 4.20/2.02 4.20/2.02 Accelerating simple loops of location 1. 4.20/2.02 4.20/2.02 Accelerating the following rules: 4.20/2.02 4.20/2.02 1: f4 -> f4 : A'=1+A, [ 3>=A && A>=1 ], cost: 1 4.20/2.02 4.20/2.02 2: f4 -> f4 : A'=1, [ 0>=A ], cost: 1 4.20/2.02 4.20/2.02 4.20/2.02 4.20/2.02 Accelerated rule 1 with metering function 4-A, yielding the new rule 4. 4.20/2.02 4.20/2.02 Found no metering function for rule 2. 4.20/2.02 4.20/2.02 Removing the simple loops: 1. 4.20/2.02 4.20/2.02 4.20/2.02 4.20/2.02 Accelerated all simple loops using metering functions (where possible): 4.20/2.02 4.20/2.02 Start location: f0 4.20/2.02 4.20/2.02 0: f0 -> f4 : A'=free, [], cost: 1 4.20/2.02 popout

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all output return to Complexity_ITS 2019-03-21 04.46