details

property	value
status	complete
benchmark	AC09.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n082.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	4.90533399582 seconds
cpu usage	5.009183479
max memory	4.72313856E8

stage attributes

key	value
output-size	1394
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: plus(x, 0) -> x plus(x, i(x)) -> 0 i(0) -> 0 i(i(x)) -> x i(plus(x, y)) -> plus(i(x), i(y)) times(x, 1) -> x times(x, 0) -> 0 times(x, i(y)) -> i(times(x, y)) times(x, plus(y, z)) -> plus(times(x, y), times(x, z)) The set E consists of the following equations: plus(x, y) == plus(y, x) times(x, y) == times(y, x) plus(plus(x, y), z) == plus(x, plus(y, z)) times(times(x, y), z) == times(x, times(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: times_2 > i_1 > plus_2 times_2 > i_1 > 0 Status: plus_2: flat status times_2: flat status ---------------------------------------- (2) YES popout

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

job log

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actions

all output return to TRS Equational