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	n146.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.59633 seconds
cpu usage	3.28438
user time	3.14483
system time	0.139556
max virtual memory	1.8275312E7
max residence set size	220820.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 0 ms] (2) YES ----------------------------------------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: 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