details

property	value
status	complete
benchmark	invNSS03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n148.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.82392 seconds
cpu usage	4.09208
user time	3.92653
system time	0.165551
max virtual memory	1.8544088E7
max residence set size	280156.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSRRRProof [EQUIVALENT, 37 ms] (2) RelTRS (3) RIsEmptyProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: f(x, 0) -> s(x) g(x) -> h(x, gen) h(0, x) -> f(x, x) a -> b The relative TRS consists of the following S rules: gen -> s(gen) ---------------------------------------- (1) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: f/2(YES,YES) 0/0) s/1)YES( g/1(YES) h/2(YES,YES) gen/0) a/0) b/0) Quasi precedence: 0 > f_2 > gen g_1 > h_2 > f_2 > gen a > b > gen Status: f_2: [2,1] 0: multiset status g_1: [1] h_2: [2,1] gen: multiset status a: multiset status b: multiset status With this ordering the following rules can be removed [MATRO] because they are oriented strictly: Rules from R: f(x, 0) -> s(x) g(x) -> h(x, gen) h(0, x) -> f(x, x) a -> b Rules from S: none ---------------------------------------- (2) Obligation: Relative term rewrite system: R is empty. The relative TRS consists of the following S rules: gen -> s(gen) ---------------------------------------- (3) RIsEmptyProof (EQUIVALENT) The TRS R is empty. Hence, termination is trivially proven. ---------------------------------------- (4) YES popout

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