Complexity_ITS 2019-03-21 04.46 pair #429990882

details

property	value
status	complete
benchmark	ex8.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n009.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.12002 seconds
cpu usage	4.95581
user time	4.69394
system time	0.261866
max virtual memory	3.6600084E7
max residence set size	215828.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

4.78/2.09	WORST_CASE(NON_POLY, ?)
4.78/2.10	proof of /export/starexec/sandbox/benchmark/theBenchmark.koat
4.78/2.10	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
4.78/2.10	
4.78/2.10	
4.78/2.10	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF).
4.78/2.10	
4.78/2.10	(0) CpxIntTrs
4.78/2.10	(1) Loat Proof [FINISHED, 405 ms]
4.78/2.10	(2) BOUNDS(INF, INF)
4.78/2.10	
4.78/2.10	
4.78/2.10	----------------------------------------
4.78/2.10	
4.78/2.10	(0)
4.78/2.10	Obligation:
4.78/2.10	Complexity Int TRS consisting of the following rules:
4.78/2.10	f0(A, B, C, D, E) -> Com_1(f9(F, F, F, 0, E)) :|: TRUE
4.78/2.10	f9(A, B, C, D, E) -> Com_1(f9(A, B, C, D + 1, F)) :|: C >= D + 1
4.78/2.10	f24(A, B, C, D, E) -> Com_1(f24(A, B, C, D, E)) :|: 0 >= F + 1
4.78/2.10	f24(A, B, C, D, E) -> Com_1(f24(A, B, C, D, E)) :|: TRUE
4.78/2.10	f37(A, B, C, D, E) -> Com_1(f37(A, B, C, D, E)) :|: F >= G + 1
4.78/2.10	f37(A, B, C, D, E) -> Com_1(f37(A, B, C, D, E)) :|: TRUE
4.78/2.10	f37(A, B, C, D, E) -> Com_1(f48(A, B, C, D, E)) :|: TRUE
4.78/2.10	f24(A, B, C, D, E) -> Com_1(f37(A, B, C, D, E)) :|: TRUE
4.78/2.10	f9(A, B, C, D, E) -> Com_1(f24(A, B, C, D, E)) :|: D >= C
4.78/2.10	
4.78/2.10	The start-symbols are:[f0_5]
4.78/2.10	
4.78/2.10	
4.78/2.10	----------------------------------------
4.78/2.10	
4.78/2.10	(1) Loat Proof (FINISHED)
4.78/2.10	
4.78/2.10	
4.78/2.10	### Pre-processing the ITS problem ###
4.78/2.10	
4.78/2.10	
4.78/2.10	
4.78/2.10	Initial linear ITS problem
4.78/2.10	
4.78/2.10	   Start location: f0
4.78/2.10	
4.78/2.10	      0: f0 -> f9 : A'=free, B'=free, C'=free, D'=0, [], cost: 1
4.78/2.10	
4.78/2.10	      1: f9 -> f9 : D'=1+D, E'=free_1, [ C>=1+D ], cost: 1
4.78/2.10	
4.78/2.10	      8: f9 -> f24 : [ D>=C ], cost: 1
4.78/2.10	
4.78/2.10	      2: f24 -> f24 : [ 0>=1+free_2 ], cost: 1
4.78/2.10	
4.78/2.10	      3: f24 -> f24 : [], cost: 1
4.78/2.10	
4.78/2.10	      7: f24 -> f37 : [], cost: 1
4.78/2.10	
4.78/2.10	      4: f37 -> f37 : [ free_3>=1+free_4 ], cost: 1
4.78/2.10	
4.78/2.10	      5: f37 -> f37 : [], cost: 1
4.78/2.10	
4.78/2.10	      6: f37 -> f48 : [], cost: 1
4.78/2.10	
4.78/2.10	
4.78/2.10	
4.78/2.10	Removed unreachable and leaf rules:
4.78/2.10	
4.78/2.10	   Start location: f0
4.78/2.10	
4.78/2.10	      0: f0 -> f9 : A'=free, B'=free, C'=free, D'=0, [], cost: 1
4.78/2.10	
4.78/2.10	      1: f9 -> f9 : D'=1+D, E'=free_1, [ C>=1+D ], cost: 1
4.78/2.10	
4.78/2.10	      8: f9 -> f24 : [ D>=C ], cost: 1
4.78/2.10	
4.78/2.10	      2: f24 -> f24 : [ 0>=1+free_2 ], cost: 1
4.78/2.10	
4.78/2.10	      3: f24 -> f24 : [], cost: 1
4.78/2.10	
4.78/2.10	      7: f24 -> f37 : [], cost: 1
4.78/2.10	
4.78/2.10	      4: f37 -> f37 : [ free_3>=1+free_4 ], cost: 1
4.78/2.10	
4.78/2.10	      5: f37 -> f37 : [], cost: 1
4.78/2.10	
4.78/2.10	
4.78/2.10	
4.78/2.10	Simplified all rules, resulting in:
4.78/2.10	
4.78/2.10	   Start location: f0
4.78/2.10	
4.78/2.10	      0: f0 -> f9 : A'=free, B'=free, C'=free, D'=0, [], cost: 1
4.78/2.10	
4.78/2.10	      1: f9 -> f9 : D'=1+D, E'=free_1, [ C>=1+D ], cost: 1
4.78/2.10	
4.78/2.10	      8: f9 -> f24 : [ D>=C ], cost: 1
4.78/2.10	
4.78/2.10	      3: f24 -> f24 : [], cost: 1
4.78/2.10	
4.78/2.10	      7: f24 -> f37 : [], cost: 1
4.78/2.10	
4.78/2.10	      5: f37 -> f37 : [], cost: 1

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actions all output return to Complexity_ITS 2019-03-21 04.46