details

property	value
status	complete
benchmark	AC13.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n141.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.55417 seconds
cpu usage	3.25811
user time	3.11325
system time	0.144863
max virtual memory	1.8275312E7
max residence set size	207992.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ----------------------------------------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, plus(y, z)) -> plus(times(x, y), times(x, z)) times(x, 0) -> 0 times(x, i(y)) -> i(times(x, y)) 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