Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.43 pair #433314032

details
property	value
status	complete
benchmark	rationalPotential.raml.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n038.star.cs.uiowa.edu
space	raML
run statistics
property	value
solver	AProVE
configuration	certified
runtime (wallclock)	2.27352 seconds
cpu usage	5.61158
user time	5.36365
system time	0.247936
max virtual memory	1.8591932E7
max residence set size	426516.0
stage attributes
key	value
certification-result	CERTIFIED
output-size	12729
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>group3</name><arg><var>@l</var></arg></funapp></lhs><rhs><funapp><name>group3#1</name><arg><var>@l</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>group3#1</name><arg><funapp><name>::</name><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>group3#2</name><arg><var>@xs</var></arg><arg><var>@x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>group3#1</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>group3#2</name><arg><funapp><name>::</name><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></arg><arg><var>@x</var></arg></funapp></lhs><rhs><funapp><name>group3#3</name><arg><var>@ys</var></arg><arg><var>@x</var></arg><arg><var>@y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>group3#2</name><arg><funapp><name>nil</name></funapp></arg><arg><var>@x</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>group3#3</name><arg><funapp><name>::</name><arg><var>@z</var></arg><arg><var>@zs</var></arg></funapp></arg><arg><var>@x</var></arg><arg><var>@y</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><funapp><name>tuple#3</name><arg><var>@x</var></arg><arg><var>@y</var></arg><arg><var>@z</var></arg></funapp></arg><arg><funapp><name>group3</name><arg><var>@zs</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>group3#3</name><arg><funapp><name>nil</name></funapp></arg><arg><var>@x</var></arg><arg><var>@y</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>zip3</name><arg><var>@l1</var></arg><arg><var>@l2</var></arg><arg><var>@l3</var></arg></funapp></lhs><rhs><funapp><name>zip3#1</name><arg><var>@l1</var></arg><arg><var>@l2</var></arg><arg><var>@l3</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zip3#1</name><arg><funapp><name>::</name><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></arg><arg><var>@l2</var></arg><arg><var>@l3</var></arg></funapp></lhs><rhs><funapp><name>zip3#2</name><arg><var>@l2</var></arg><arg><var>@l3</var></arg><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zip3#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>@l2</var></arg><arg><var>@l3</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>zip3#2</name><arg><funapp><name>::</name><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></arg><arg><var>@l3</var></arg><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></lhs><rhs><funapp><name>zip3#3</name><arg><var>@l3</var></arg><arg><var>@x</var></arg><arg><var>@xs</var></arg><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zip3#2</name><arg><funapp><name>nil</name></funapp></arg><arg><var>@l3</var></arg><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>zip3#3</name><arg><funapp><name>::</name><arg><var>@z</var></arg><arg><var>@zs</var></arg></funapp></arg><arg><var>@x</var></arg><arg><var>@xs</var></arg><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><funapp><name>tuple#3</name><arg><var>@x</var></arg><arg><var>@y</var></arg><arg><var>@z</var></arg></funapp></arg><arg><funapp><name>zip3</name><arg><var>@xs</var></arg><arg><var>@ys</var></arg><arg><var>@zs</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>zip3#3</name><arg><funapp><name>nil</name></funapp></arg><arg><var>@x</var></arg><arg><var>@xs</var></arg><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></trs><strategy><innermost/></strategy></trsInput><runtimeComplexity><signature><symbol><name>::</name><arity>2</arity></symbol><symbol><name>nil</name><arity>0</arity></symbol><symbol><name>tuple#3</name><arity>3</arity></symbol></signature><signature><symbol><name>group3</name><arity>1</arity></symbol><symbol><name>group3#1</name><arity>1</arity></symbol><symbol><name>group3#2</name><arity>2</arity></symbol><symbol><name>group3#3</name><arity>3</arity></symbol><symbol><name>zip3</name><arity>3</arity></symbol><symbol><name>zip3#1</name><arity>3</arity></symbol><symbol><name>zip3#2</name><arity>4</arity></symbol><symbol><name>zip3#3</name><arity>5</arity></symbol></signature></runtimeComplexity><polynomial>1</polynomial></complexityInput></input><cpfVersion>2.1</cpfVersion><proof><complexityProof><bounds><type><match/></type><bound>2</bound><finalStates><state>0</state></finalStates><treeAutomaton><finalStates><state>0</state><state>1</state><state>2</state><state>3</state><state>4</state><state>5</state><state>6</state><state>7</state><state>8</state></finalStates><transitions><transition><lhs><name>::</name><height>0</height><state>0</state><state>0</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>nil</name><height>0</height></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>tuple#3</name><height>0</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>0</state></rhs></transition><transition><lhs><name>group3</name><height>0</height><state>0</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>group3#1</name><height>0</height><state>0</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>group3#2</name><height>0</height><state>0</state><state>0</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>group3#3</name><height>0</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>zip3</name><height>0</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>zip3#1</name><height>0</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>zip3#2</name><height>0</height><state>0</state><state>0</state><state>0</state><state>0</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>zip3#3</name><height>0</height><state>0</state><state>0</state><state>0</state><state>0</state><state>0</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>group3#1</name><height>1</height><state>0</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>group3#2</name><height>1</height><state>0</state><state>0</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>group3#3</name><height>1</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>tuple#3</name><height>1</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>9</state></rhs></transition><transition><lhs><name>group3</name><height>1</height><state>0</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>10</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>zip3#1</name><height>1</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>zip3#2</name><height>1</height><state>0</state><state>0</state><state>0</state><state>0</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>zip3#3</name><height>1</height><state>0</state><state>0</state><state>0</state><state>0</state><state>0</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>zip3</name><height>1</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>11</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>11</state></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>8</state></rhs></transition><transition><lhs><name>group3#1</name><height>2</height><state>0</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>group3#2</name><height>1</height><state>0</state><state>0</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>group3#3</name><height>1</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>10</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>zip3#1</name><height>2</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>11</state></rhs></transition><transition><lhs><name>zip3#2</name><height>1</height><state>0</state><state>0</state><state>0</state><state>0</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>zip3#3</name><height>1</height><state>0</state><state>0</state><state>0</state><state>0</state><state>0</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>11</state></lhs><rhs><state>7</state></rhs></transition><transition><lhs><name>group3#3</name><height>1</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>10</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>zip3#3</name><height>1</height><state>0</state><state>0</state><state>0</state><state>0</state><state>0</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>11</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>group3#2</name><height>1</height><state>0</state><state>0</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>zip3#2</name><height>1</height><state>0</state><state>0</state><state>0</state><state>0</state></lhs><rhs><state>11</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>11</state></rhs></transition><transition><lhs><name>group3#3</name><height>1</height><state>0</state><state>0</state><state>0</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>10</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>zip3#3</name><height>1</height><state>0</state><state>0</state><state>0</state><state>0</state><state>0</state></lhs><rhs><state>11</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>11</state></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>10</state></lhs><rhs><state>10</state></rhs></transition><transition><lhs><name>::</name><height>1</height><state>9</state><state>11</state></lhs><rhs><state>11</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>
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions all output return to Runtime_Complexity_Innermost_Rewriting 2019-04-01 06.43