details

property	value
status	complete
benchmark	AC29.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n109.star.cs.uiowa.edu
space	Mixed_AC_and_C

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.61273 seconds
cpu usage	3.23484
user time	3.09516
system time	0.139675
max virtual memory	1.8275288E7
max residence set size	222140.0

stage attributes

key	value
starexec-result	YES

output

3.02/1.56 YES 3.02/1.56 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.02/1.56 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.02/1.56 3.02/1.56 3.02/1.56 Termination of the given ETRS could be proven: 3.02/1.56 3.02/1.56 (0) ETRS 3.02/1.56 (1) EDirectTerminationProof [EQUIVALENT, 0 ms] 3.02/1.56 (2) YES 3.02/1.56 3.02/1.56 3.02/1.56 ---------------------------------------- 3.02/1.56 3.02/1.56 (0) 3.02/1.56 Obligation: 3.02/1.56 Equational rewrite system: 3.02/1.56 The TRS R consists of the following rules: 3.02/1.56 3.02/1.56 1 -> s(0) 3.02/1.56 2 -> s(1) 3.02/1.56 3 -> s(2) 3.02/1.56 4 -> s(3) 3.02/1.56 5 -> s(4) 3.02/1.56 6 -> s(5) 3.02/1.56 7 -> s(6) 3.02/1.56 8 -> s(7) 3.02/1.56 9 -> s(8) 3.02/1.56 max'(0, x) -> x 3.02/1.56 max'(s(x), s(y)) -> s(max'(x, y)) 3.02/1.56 app(empty, X) -> X 3.02/1.56 max(singl(x)) -> x 3.02/1.56 max(app(singl(x), Y)) -> max2(x, Y) 3.02/1.56 max2(x, empty) -> x 3.02/1.56 max2(x, singl(y)) -> max'(x, y) 3.02/1.56 max2(x, app(singl(y), Z)) -> max2(max'(x, y), Z) 3.02/1.56 3.02/1.56 The set E consists of the following equations: 3.02/1.56 3.02/1.56 max'(x, y) == max'(y, x) 3.02/1.56 app(x, y) == app(y, x) 3.02/1.56 app(app(x, y), z) == app(x, app(y, z)) 3.02/1.56 3.02/1.56 3.02/1.56 ---------------------------------------- 3.02/1.56 3.02/1.56 (1) EDirectTerminationProof (EQUIVALENT) 3.02/1.56 We use [DA_FALKE] with the following order to prove termination. 3.02/1.56 3.02/1.56 Precedence: 3.02/1.56 9 > 8 > 7 > 6 > 5 > 4 > 3 > 2 > 1 > s_1 3.02/1.56 9 > 8 > 7 > 6 > 5 > 4 > 3 > 2 > 1 > 0 3.02/1.56 app_2 > max2_2 > max'_2 > s_1 3.02/1.56 3.02/1.56 3.02/1.56 Status: 3.02/1.56 app_2: flat status 3.02/1.56 max2_2: [2,1] 3.02/1.56 max'_2: multiset status 3.02/1.56 3.02/1.56 3.02/1.56 3.02/1.56 ---------------------------------------- 3.02/1.56 3.02/1.56 (2) 3.02/1.56 YES 3.22/1.61 EOF popout

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

job log

popout

actions

all output return to TRS_Equational 2019-03-21 05.09