details

property	value
status	complete
benchmark	AC11.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n128.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.05573511124 seconds
cpu usage	5.251400681
max memory	4.67222528E8

stage attributes

key	value
output-size	1178
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 86 ms] (2) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: f(g(f(h(a), a)), a) -> f(h(a), f(a, a)) f(h(a), g(a)) -> f(g(h(a)), a) f(g(h(a)), f(b, f(b, b))) -> f(g(f(h(a), a)), a) f(h(a), a) -> f(h(a), b) 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 h_1 > f_2 > a > b 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