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	n109.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.69289493561 seconds
cpu usage	3.990809573
max memory	2.70741504E8

stage attributes

key	value
output-size	1799
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSRRRProof [EQUIVALENT, 28 ms] (2) RelTRS (3) RIsEmptyProof [EQUIVALENT, 0 ms] (4)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

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Relat 75837