details

property	value
status	complete
benchmark	f_5.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n089.star.cs.uiowa.edu
space	Zantema_08

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.6864 seconds
cpu usage	4.19652
user time	4.02548
system time	0.171036
max virtual memory	1.8341532E7
max residence set size	339508.0

stage attributes

key	value
starexec-result	YES

output

4.03/1.63 YES 4.03/1.65 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 4.03/1.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.03/1.65 4.03/1.65 4.03/1.65 Outermost Termination of the given OTRS could be proven: 4.03/1.65 4.03/1.65 (0) OTRS 4.03/1.65 (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 4.03/1.65 (2) QTRS 4.03/1.65 (3) AAECC Innermost [EQUIVALENT, 0 ms] 4.03/1.65 (4) QTRS 4.03/1.65 (5) DependencyPairsProof [EQUIVALENT, 0 ms] 4.03/1.65 (6) QDP 4.03/1.65 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 4.03/1.65 (8) QDP 4.03/1.65 (9) UsableRulesProof [EQUIVALENT, 0 ms] 4.03/1.65 (10) QDP 4.03/1.65 (11) QReductionProof [EQUIVALENT, 0 ms] 4.03/1.65 (12) QDP 4.03/1.65 (13) RFCMatchBoundsDPProof [EQUIVALENT, 0 ms] 4.03/1.65 (14) YES 4.03/1.65 4.03/1.65 4.03/1.65 ---------------------------------------- 4.03/1.65 4.03/1.65 (0) 4.03/1.65 Obligation: 4.03/1.65 Term rewrite system R: 4.03/1.65 The TRS R consists of the following rules: 4.03/1.65 4.03/1.65 a -> f(a) 4.03/1.65 f(f(f(f(f(x))))) -> b 4.03/1.65 4.03/1.65 4.03/1.65 4.03/1.65 Outermost Strategy. 4.03/1.65 4.03/1.65 ---------------------------------------- 4.03/1.65 4.03/1.65 (1) Raffelsieper-Zantema-Transformation (SOUND) 4.03/1.65 We applied the Raffelsieper-Zantema transformation to transform the outermost TRS to a standard TRS. 4.03/1.65 ---------------------------------------- 4.03/1.65 4.03/1.65 (2) 4.03/1.65 Obligation: 4.03/1.65 Q restricted rewrite system: 4.03/1.65 The TRS R consists of the following rules: 4.03/1.65 4.03/1.65 down(a) -> up(f(a)) 4.03/1.65 down(f(f(f(f(f(x)))))) -> up(b) 4.03/1.65 top(up(x)) -> top(down(x)) 4.03/1.65 down(f(a)) -> f_flat(down(a)) 4.03/1.65 down(f(b)) -> f_flat(down(b)) 4.03/1.65 down(f(fresh_constant)) -> f_flat(down(fresh_constant)) 4.03/1.65 down(f(f(a))) -> f_flat(down(f(a))) 4.03/1.65 down(f(f(b))) -> f_flat(down(f(b))) 4.03/1.65 down(f(f(fresh_constant))) -> f_flat(down(f(fresh_constant))) 4.03/1.65 down(f(f(f(a)))) -> f_flat(down(f(f(a)))) 4.03/1.65 down(f(f(f(b)))) -> f_flat(down(f(f(b)))) 4.03/1.65 down(f(f(f(fresh_constant)))) -> f_flat(down(f(f(fresh_constant)))) 4.03/1.65 down(f(f(f(f(a))))) -> f_flat(down(f(f(f(a))))) 4.03/1.65 down(f(f(f(f(b))))) -> f_flat(down(f(f(f(b))))) 4.03/1.65 down(f(f(f(f(fresh_constant))))) -> f_flat(down(f(f(f(fresh_constant))))) 4.03/1.65 f_flat(up(x_1)) -> up(f(x_1)) 4.03/1.65 4.03/1.65 Q is empty. 4.03/1.65 4.03/1.65 ---------------------------------------- 4.03/1.65 4.03/1.65 (3) AAECC Innermost (EQUIVALENT) 4.03/1.65 We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is 4.03/1.65 down(f(a)) -> f_flat(down(a)) 4.03/1.65 down(f(b)) -> f_flat(down(b)) 4.03/1.65 down(f(fresh_constant)) -> f_flat(down(fresh_constant)) 4.03/1.65 down(f(f(a))) -> f_flat(down(f(a))) 4.03/1.65 down(f(f(b))) -> f_flat(down(f(b))) 4.03/1.65 down(f(f(fresh_constant))) -> f_flat(down(f(fresh_constant))) 4.03/1.65 down(f(f(f(a)))) -> f_flat(down(f(f(a)))) 4.03/1.65 down(f(f(f(b)))) -> f_flat(down(f(f(b)))) 4.03/1.65 down(f(f(f(fresh_constant)))) -> f_flat(down(f(f(fresh_constant)))) 4.03/1.65 down(f(f(f(f(a))))) -> f_flat(down(f(f(f(a))))) 4.03/1.65 down(f(f(f(f(b))))) -> f_flat(down(f(f(f(b))))) 4.03/1.65 down(f(f(f(f(fresh_constant))))) -> f_flat(down(f(f(f(fresh_constant))))) 4.03/1.65 f_flat(up(x_1)) -> up(f(x_1)) 4.03/1.65 down(a) -> up(f(a)) 4.03/1.65 down(f(f(f(f(f(x)))))) -> up(b) 4.03/1.65 4.03/1.65 The TRS R 2 is 4.03/1.65 top(up(x)) -> top(down(x)) 4.03/1.65 4.03/1.65 The signature Sigma is {top_1} 4.03/1.65 ---------------------------------------- 4.03/1.65 4.03/1.65 (4) 4.03/1.65 Obligation: 4.03/1.65 Q restricted rewrite system: 4.03/1.65 The TRS R consists of the following rules: 4.03/1.65 4.03/1.65 down(a) -> up(f(a)) popout

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job log

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actions

all output return to TRS_Outermost 2019-04-01 06.45