details

property	value
status	complete
benchmark	ex3-muterm14.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	Mixed_CTRS_2014

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.7754 seconds
cpu usage	23.8257
user time	22.354
system time	1.47173
max virtual memory	5.540584E7
max residence set size	4344988.0

stage attributes

key	value
starexec-result	MAYBE

output

23.53/11.72 MAYBE 23.75/11.73 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 23.75/11.73 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 23.75/11.73 23.75/11.73 23.75/11.73 Quasi decreasingness of the given CTRS could not be shown: 23.75/11.73 23.75/11.73 (0) CTRS 23.75/11.73 (1) CTRSToQTRSProof [SOUND, 0 ms] 23.75/11.73 (2) QTRS 23.75/11.73 (3) QTRSRRRProof [EQUIVALENT, 55 ms] 23.75/11.73 (4) QTRS 23.75/11.73 (5) AAECC Innermost [EQUIVALENT, 0 ms] 23.75/11.73 (6) QTRS 23.75/11.73 (7) DependencyPairsProof [EQUIVALENT, 0 ms] 23.75/11.73 (8) QDP 23.75/11.73 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 23.75/11.73 (10) AND 23.75/11.73 (11) QDP 23.75/11.73 (12) UsableRulesProof [EQUIVALENT, 0 ms] 23.75/11.73 (13) QDP 23.75/11.73 (14) QReductionProof [EQUIVALENT, 0 ms] 23.75/11.73 (15) QDP 23.75/11.73 (16) NonTerminationLoopProof [COMPLETE, 0 ms] 23.75/11.73 (17) NO 23.75/11.73 (18) QDP 23.75/11.73 (19) MNOCProof [EQUIVALENT, 0 ms] 23.75/11.73 (20) QDP 23.75/11.73 (21) NonLoopProof [COMPLETE, 19 ms] 23.75/11.73 (22) NO 23.75/11.73 23.75/11.73 23.75/11.73 ---------------------------------------- 23.75/11.73 23.75/11.73 (0) 23.75/11.73 Obligation: 23.75/11.73 Conditional term rewrite system: 23.75/11.73 The TRS R consists of the following rules: 23.75/11.73 23.75/11.73 f(x) -> g(a) 23.75/11.73 g(x) -> f(x) 23.75/11.73 23.75/11.73 The conditional TRS C consists of the following conditional rules: 23.75/11.73 23.75/11.73 a -> b <= a -> c, b -> c 23.75/11.73 23.75/11.73 23.75/11.73 ---------------------------------------- 23.75/11.73 23.75/11.73 (1) CTRSToQTRSProof (SOUND) 23.75/11.73 The conditional rules have been transormed into unconditional rules according to [CTRS,AAECCNOC]. 23.75/11.73 ---------------------------------------- 23.75/11.73 23.75/11.73 (2) 23.75/11.73 Obligation: 23.75/11.73 Q restricted rewrite system: 23.75/11.73 The TRS R consists of the following rules: 23.75/11.73 23.75/11.73 a -> U1(a) 23.75/11.73 U1(c) -> U2(b) 23.75/11.73 U2(c) -> b 23.75/11.73 f(x) -> g(a) 23.75/11.73 g(x) -> f(x) 23.75/11.73 23.75/11.73 Q is empty. 23.75/11.73 23.75/11.73 ---------------------------------------- 23.75/11.73 23.75/11.73 (3) QTRSRRRProof (EQUIVALENT) 23.75/11.73 Used ordering: 23.75/11.73 Polynomial interpretation [POLO]: 23.75/11.73 23.75/11.73 POL(U1(x_1)) = x_1 23.75/11.73 POL(U2(x_1)) = 2*x_1 23.75/11.73 POL(a) = 0 23.75/11.73 POL(b) = 0 23.75/11.73 POL(c) = 2 23.75/11.73 POL(f(x_1)) = 2*x_1 23.75/11.73 POL(g(x_1)) = 2*x_1 23.75/11.73 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 23.75/11.73 23.75/11.73 U1(c) -> U2(b) 23.75/11.73 U2(c) -> b 23.75/11.73 23.75/11.73 23.75/11.73 23.75/11.73 23.75/11.73 ---------------------------------------- 23.75/11.73 23.75/11.73 (4) 23.75/11.73 Obligation: 23.75/11.73 Q restricted rewrite system: 23.75/11.73 The TRS R consists of the following rules: 23.75/11.73 23.75/11.73 a -> U1(a) 23.75/11.73 f(x) -> g(a) 23.75/11.73 g(x) -> f(x) 23.75/11.73 23.75/11.73 Q is empty. 23.75/11.73 popout

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job log

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actions

all output return to TRS_Conditional 2019-03-28 22.59