details

property	value
status	complete
benchmark	intersect.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	1.97992992401 seconds
cpu usage	5.060667042
max memory	4.78068736E8

stage attributes

key	value
output-size	1535
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: if(true, x, y) -> x if(false, x, y) -> y eq(0, 0) -> true eq(0, s(x)) -> false eq(s(x), s(y)) -> eq(x, y) union(empty, x) -> x inter(empty, x) -> empty inter(union(y, z), x) -> union(inter(x, y), inter(x, z)) inter(singl(x), singl(y)) -> if(eq(x, y), singl(x), empty) The set E consists of the following equations: eq(x, y) == eq(y, x) inter(x, y) == inter(y, x) union(x, y) == union(y, x) inter(inter(x, y), z) == inter(x, inter(y, z)) union(union(x, y), z) == union(x, union(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: s_1 > false inter_2 > if_3 inter_2 > eq_2 > true inter_2 > union_2 singl_1 > empty Status: inter_2: flat status union_2: flat status eq_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