details

property	value
status	complete
benchmark	PALINDROME_nosorts_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n192.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.6204 seconds
cpu usage	3.6371
user time	3.48317
system time	0.15393
max virtual memory	1.8277836E7
max residence set size	237232.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 32 ms] (2) QTRS (3) RisEmptyProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a____(__(X, Y), Z) -> a____(mark(X), a____(mark(Y), mark(Z))) a____(X, nil) -> mark(X) a____(nil, X) -> mark(X) a__U11(tt) -> a__U12(tt) a__U12(tt) -> tt a__isNePal(__(I, __(P, I))) -> a__U11(tt) mark(__(X1, X2)) -> a____(mark(X1), mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U12(X)) -> a__U12(mark(X)) mark(isNePal(X)) -> a__isNePal(mark(X)) mark(nil) -> nil mark(tt) -> tt a____(X1, X2) -> __(X1, X2) a__U11(X) -> U11(X) a__U12(X) -> U12(X) a__isNePal(X) -> isNePal(X) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Knuth-Bendix order [KBO] with precedence:mark_1 > a_____2 > ___2 > nil > a__isNePal_1 > a__U11_1 > isNePal_1 > U11_1 > a__U12_1 > U12_1 > tt and weight map: nil=1 tt=4 mark_1=0 a__U11_1=1 a__U12_1=1 a__isNePal_1=2 U11_1=1 U12_1=1 isNePal_1=2 ___2=0 a_____2=0 The variable weight is 1With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: a____(__(X, Y), Z) -> a____(mark(X), a____(mark(Y), mark(Z))) a____(X, nil) -> mark(X) a____(nil, X) -> mark(X) a__U11(tt) -> a__U12(tt) a__U12(tt) -> tt a__isNePal(__(I, __(P, I))) -> a__U11(tt) mark(__(X1, X2)) -> a____(mark(X1), mark(X2)) mark(U11(X)) -> a__U11(mark(X)) mark(U12(X)) -> a__U12(mark(X)) mark(isNePal(X)) -> a__isNePal(mark(X)) mark(nil) -> nil mark(tt) -> tt a____(X1, X2) -> __(X1, X2) a__U11(X) -> U11(X) a__U12(X) -> U12(X) a__isNePal(X) -> isNePal(X) ---------------------------------------- (2) Obligation: Q restricted rewrite system: R is empty. Q is empty. ---------------------------------------- (3) RisEmptyProof (EQUIVALENT) The TRS R is empty. Hence, termination is trivially proven. ---------------------------------------- (4) YES popout

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