details

property	value
status	complete
benchmark	#3.12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n185.star.cs.uiowa.edu
space	AG01

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.77659 seconds
cpu usage	3.99706
user time	3.80416
system time	0.192906
max virtual memory	1.8343376E7
max residence set size	258712.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 55 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 0 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 8 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 0 ms] (8) QTRS (9) RisEmptyProof [EQUIVALENT, 0 ms] (10) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: app(nil, y) -> y app(add(n, x), y) -> add(n, app(x, y)) reverse(nil) -> nil reverse(add(n, x)) -> app(reverse(x), add(n, nil)) shuffle(nil) -> nil shuffle(add(n, x)) -> add(n, shuffle(reverse(x))) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(add(x_1, x_2)) = 2 + 2*x_1 + x_2 POL(app(x_1, x_2)) = x_1 + x_2 POL(nil) = 0 POL(reverse(x_1)) = x_1 POL(shuffle(x_1)) = 2 + 2*x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: shuffle(nil) -> nil shuffle(add(n, x)) -> add(n, shuffle(reverse(x))) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: app(nil, y) -> y app(add(n, x), y) -> add(n, app(x, y)) reverse(nil) -> nil reverse(add(n, x)) -> app(reverse(x), add(n, nil)) Q is empty. ---------------------------------------- (3) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(add(x_1, x_2)) = 2*x_1 + x_2 POL(app(x_1, x_2)) = x_1 + x_2 POL(nil) = 0 POL(reverse(x_1)) = 2 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: reverse(nil) -> nil ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: app(nil, y) -> y app(add(n, x), y) -> add(n, app(x, y)) reverse(add(n, x)) -> app(reverse(x), add(n, nil)) Q is empty. ---------------------------------------- popout

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job log

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actions

all output return to TRS Standard