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	n073.star.cs.uiowa.edu
space	Mixed_AC_and_C

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	1.99680089951 seconds
cpu usage	5.120597146
max memory	4.71969792E8

stage attributes

key	value
output-size	1541
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given ETRS could be proven: (0) ETRS (1) EDirectTerminationProof [EQUIVALENT, 80 ms] (2) YES ---------------------------------------- (0) Obligation: Equational rewrite system: The TRS R consists of the following rules: 1 -> s(0) 2 -> s(1) 3 -> s(2) 4 -> s(3) 5 -> s(4) 6 -> s(5) 7 -> s(6) 8 -> s(7) 9 -> s(8) max'(0, x) -> x max'(s(x), s(y)) -> s(max'(x, y)) app(empty, X) -> X max(singl(x)) -> x max(app(singl(x), Y)) -> max2(x, Y) max2(x, empty) -> x max2(x, singl(y)) -> max'(x, y) max2(x, app(singl(y), Z)) -> max2(max'(x, y), Z) The set E consists of the following equations: max'(x, y) == max'(y, x) app(x, y) == app(y, x) app(app(x, y), z) == app(x, app(y, z)) ---------------------------------------- (1) EDirectTerminationProof (EQUIVALENT) We use [DA_FALKE] with the following order to prove termination. Precedence: 9 > 8 > 7 > 6 > 5 > 4 > 3 > 2 > 1 > s_1 9 > 8 > 7 > 6 > 5 > 4 > 3 > 2 > 1 > 0 app_2 > max2_2 > max'_2 > s_1 Status: app_2: flat status max2_2: [2,1] max'_2: multiset status ---------------------------------------- (2) YES popout

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job log

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actions

all output return to TRS Equational