details

property	value
status	complete
benchmark	19.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n079.star.cs.uiowa.edu
space	Various_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.06582999229 seconds
cpu usage	5.368958755
max memory	4.72481792E8

stage attributes

key	value
output-size	1898
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 32 ms] (2) QTRS (3) RisEmptyProof [EQUIVALENT, 0 ms] (4) YES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: :(x, x) -> e :(x, e) -> x i(:(x, y)) -> :(y, x) :(:(x, y), z) -> :(x, :(z, i(y))) :(e, x) -> i(x) i(i(x)) -> x i(e) -> e :(x, :(y, i(x))) -> i(y) :(x, :(y, :(i(x), z))) -> :(i(z), y) :(i(x), :(y, x)) -> i(y) :(i(x), :(y, :(x, z))) -> :(i(z), y) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Knuth-Bendix order [KBO] with precedence:i_1 > :_2 > e and weight map: e=2 i_1=0 :_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: :(x, x) -> e :(x, e) -> x i(:(x, y)) -> :(y, x) :(:(x, y), z) -> :(x, :(z, i(y))) :(e, x) -> i(x) i(i(x)) -> x i(e) -> e :(x, :(y, i(x))) -> i(y) :(x, :(y, :(i(x), z))) -> :(i(z), y) :(i(x), :(y, x)) -> i(y) :(i(x), :(y, :(x, z))) -> :(i(z), y) ---------------------------------------- (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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job log

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actions

all output return to TRS Standard