details

property	value
status	complete
benchmark	wrong_loop.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n036.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.85854 seconds
cpu usage	4.49765
user time	4.21918
system time	0.278479
max virtual memory	1.844252E7
max residence set size	222244.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

4.41/2.82 WORST_CASE(NON_POLY, ?) 4.41/2.83 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 4.41/2.83 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.41/2.83 4.41/2.83 4.41/2.83 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 4.41/2.83 4.41/2.83 (0) CpxIntTrs 4.41/2.83 (1) Loat Proof [FINISHED, 529 ms] 4.41/2.83 (2) BOUNDS(INF, INF) 4.41/2.83 4.41/2.83 4.41/2.83 ---------------------------------------- 4.41/2.83 4.41/2.83 (0) 4.41/2.83 Obligation: 4.41/2.83 Complexity Int TRS consisting of the following rules: 4.41/2.83 f0(A, B) -> Com_1(f3(0, B)) :|: TRUE 4.41/2.83 f3(A, B) -> Com_1(f3(C + 1, B)) :|: A >= 5 && A <= 5 4.41/2.83 f3(A, B) -> Com_1(f3(A + 1, A)) :|: 9 >= A && 4 >= A 4.41/2.83 f3(A, B) -> Com_1(f3(A + 1, A)) :|: 9 >= A && A >= 6 4.41/2.83 f3(A, B) -> Com_1(f12(A, B)) :|: A >= 10 4.41/2.83 4.41/2.83 The start-symbols are:[f0_2] 4.41/2.83 4.41/2.83 4.41/2.83 ---------------------------------------- 4.41/2.83 4.41/2.83 (1) Loat Proof (FINISHED) 4.41/2.83 4.41/2.83 4.41/2.83 ### Pre-processing the ITS problem ### 4.41/2.83 4.41/2.83 4.41/2.83 4.41/2.83 Initial linear ITS problem 4.41/2.83 4.41/2.83 Start location: f0 4.41/2.83 4.41/2.83 0: f0 -> f3 : A'=0, [], cost: 1 4.41/2.83 4.41/2.83 1: f3 -> f3 : A'=1+free, [ A==5 ], cost: 1 4.41/2.83 4.41/2.83 2: f3 -> f3 : A'=1+A, B'=A, [ 9>=A && 4>=A ], cost: 1 4.41/2.83 4.41/2.83 3: f3 -> f3 : A'=1+A, B'=A, [ 9>=A && A>=6 ], cost: 1 4.41/2.83 4.41/2.83 4: f3 -> f12 : [ A>=10 ], cost: 1 4.41/2.83 4.41/2.83 4.41/2.83 4.41/2.83 Removed unreachable and leaf rules: 4.41/2.83 4.41/2.83 Start location: f0 4.41/2.83 4.41/2.83 0: f0 -> f3 : A'=0, [], cost: 1 4.41/2.83 4.41/2.83 1: f3 -> f3 : A'=1+free, [ A==5 ], cost: 1 4.41/2.83 4.41/2.83 2: f3 -> f3 : A'=1+A, B'=A, [ 9>=A && 4>=A ], cost: 1 4.41/2.83 4.41/2.83 3: f3 -> f3 : A'=1+A, B'=A, [ 9>=A && A>=6 ], cost: 1 4.41/2.83 4.41/2.83 4.41/2.83 4.41/2.83 Simplified all rules, resulting in: 4.41/2.83 4.41/2.83 Start location: f0 4.41/2.83 4.41/2.83 0: f0 -> f3 : A'=0, [], cost: 1 4.41/2.83 4.41/2.83 1: f3 -> f3 : A'=1+free, [ A==5 ], cost: 1 4.41/2.83 4.41/2.83 2: f3 -> f3 : A'=1+A, B'=A, [ 4>=A ], cost: 1 4.41/2.83 4.41/2.83 3: f3 -> f3 : A'=1+A, B'=A, [ 9>=A && A>=6 ], cost: 1 4.41/2.83 4.41/2.83 4.41/2.83 4.41/2.83 ### Simplification by acceleration and chaining ### 4.41/2.83 4.41/2.83 4.41/2.83 4.41/2.83 Accelerating simple loops of location 1. 4.41/2.83 4.41/2.83 Accelerating the following rules: 4.41/2.83 4.41/2.83 1: f3 -> f3 : A'=1+free, [ A==5 ], cost: 1 4.41/2.83 4.41/2.83 2: f3 -> f3 : A'=1+A, B'=A, [ 4>=A ], cost: 1 4.41/2.83 4.41/2.83 3: f3 -> f3 : A'=1+A, B'=A, [ 9>=A && A>=6 ], cost: 1 4.41/2.83 4.41/2.83 4.41/2.83 4.41/2.83 Accelerated rule 1 with NONTERM (after strengthening guard), yielding the new rule 5. 4.41/2.83 4.41/2.83 Accelerated rule 2 with metering function 5-A, yielding the new rule 6. 4.41/2.83 4.41/2.83 Accelerated rule 3 with metering function 10-A, yielding the new rule 7. popout

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all output return to Complexity_ITS 2019-03-21 04.46