Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.43 pair #433314210

details

property	value
status	complete
benchmark	24.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n114.star.cs.uiowa.edu
space	Various_04

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	292.454 seconds
cpu usage	376.348
user time	374.339
system time	2.00862
max virtual memory	1.9043192E7
max residence set size	2002224.0

stage attributes

key	value
certification-result	CERTIFIED
output-size	5632
starexec-result	WORST_CASE(?,O(n^1))
certification-time	0.0

output

WORST_CASE(?, O(n^1))
<?xml version="1.0" encoding="UTF-8" standalone="no"?><?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?><certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><complexityInput><trsInput><trs><rules><rule><lhs><funapp><name>max</name><arg><funapp><name>L</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><var>x</var></rhs></rule><rule><lhs><funapp><name>max</name><arg><funapp><name>N</name><arg><funapp><name>L</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>L</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><var>y</var></rhs></rule><rule><lhs><funapp><name>max</name><arg><funapp><name>N</name><arg><funapp><name>L</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp></arg><arg><funapp><name>L</name><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>max</name><arg><funapp><name>N</name><arg><funapp><name>L</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>L</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>max</name><arg><funapp><name>N</name><arg><funapp><name>L</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>N</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>max</name><arg><funapp><name>N</name><arg><funapp><name>L</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>L</name><arg><funapp><name>max</name><arg><funapp><name>N</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><strategy><innermost/></strategy></trsInput><runtimeComplexity><signature><symbol><name>L</name><arity>1</arity></symbol><symbol><name>N</name><arity>2</arity></symbol><symbol><name>0</name><arity>0</arity></symbol><symbol><name>s</name><arity>1</arity></symbol></signature><signature><symbol><name>max</name><arity>1</arity></symbol></signature></runtimeComplexity><polynomial>1</polynomial></complexityInput></input><cpfVersion>2.1</cpfVersion><proof><complexityProof><bounds><type><match/></type><bound>1</bound><finalStates><state>0</state></finalStates><treeAutomaton><finalStates><state>0</state><state>1</state></finalStates><transitions><transition><lhs><name>L</name><height>0</height><state>0</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>N</name><height>0</height><state>0</state><state>0</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>0</name><height>0</height></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>s</name><height>0</height><state>0</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>max</name><height>0</height><state>0</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>L</name><height>1</height><state>0</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>L</name><height>1</height><state>0</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>N</name><height>1</height><state>4</state><state>5</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>max</name><height>1</height><state>3</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>s</name><height>1</height><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>N</name><height>1</height><state>0</state><state>0</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>max</name><height>1</height><state>8</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>L</name><height>1</height><state>7</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>N</name><height>1</height><state>4</state><state>6</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>max</name><height>1</height><state>3</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>s</name><height>1</height><state>2</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>max</name><height>1</height><state>3</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>L</name><height>1</height><state>2</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><state>0</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>0</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><state>0</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><state>7</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>7</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><state>2</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><state>2</state></lhs><rhs><state>7</state></rhs></transition></transitions></treeAutomaton></bounds></complexityProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
</version><strategy>Statistics for single proof: 100.00 % (1 real / 0 unknown / 0 assumptions / 1 total proof steps)</strategy><url>http://aprove.informatik.rwth-aachen.de</url></tool><toolUser><firstName>John</firstName><lastName>Doe</lastName></toolUser></proofOrigin><inputOrigin/></origin></certificationProblem>

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actions all output return to Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.43