details

property	value
status	complete
benchmark	AC12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n028.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	1.9757540226 seconds
cpu usage	4.839820684
max memory	4.65166336E8

stage attributes

key	value
output-size	1169
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0)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: f(g(f(h(x), x)), x) -> f(h(x), f(x, x)) f(h(x), g(x)) -> f(g(h(x)), x) f(g(h(x)), f(x, f(x, y))) -> f(g(f(h(x), y)), x) f(g(g(x)), x) -> f(g(x), g(x)) The set E consists of the following equations: f(x, y) == f(y, x) f(f(x, y), z) == f(x, f(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: h_1 > f_2 > g_1 Status: f_2: flat status ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to TRS Equational