details

property	value
status	complete
benchmark	AC06.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n093.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.60734581947 seconds
cpu usage	3.259670222
max memory	1.82505472E8

stage attributes

key	value
output-size	1580
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ----------------------------------------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: s(p(x)) -> x p(s(x)) -> x plus(0, y) -> y plus(s(x), y) -> s(plus(x, y)) plus(p(x), y) -> p(plus(x, y)) plus(i(x), x) -> 0 plus(x, plus(i(x), y)) -> y i(0) -> 0 i(s(x)) -> p(i(x)) i(p(x)) -> s(i(x)) i(i(x)) -> x i(plus(x, y)) -> plus(i(y), i(x)) times(0, y) -> 0 times(s(x), y) -> plus(times(x, y), y) times(p(x), y) -> plus(times(x, y), i(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 > s_1 times_2 > i_1 > plus_2 > p_1 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 Equat 89423