details

property	value
status	complete
benchmark	2.41.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	SK90

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	1.76277112961 seconds
cpu usage	4.181274868
max memory	2.94129664E8

stage attributes

key	value
certification-result	CERTIFIED
output-size	5694
starexec-result	WORST_CASE(?,O(n^1))
certification-time	0.0

output

/export/starexec/sandbox2/solver/bin/starexec_run_certified /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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>norm</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>norm</name><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>norm</name><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>g</name><arg><funapp><name>nil</name></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>g</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>g</name><arg><funapp><name>f</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>z</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>rem</name><arg><funapp><name>nil</name></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>rem</name><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>rem</name><arg><funapp><name>g</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>z</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>rem</name><arg><var>x</var></arg><arg><var>z</var></arg></funapp></rhs></rule></rules></trs><strategy><innermost/></strategy></trsInput><runtimeComplexity><signature><symbol><name>nil</name><arity>0</arity></symbol><symbol><name>0</name><arity>0</arity></symbol><symbol><name>g</name><arity>2</arity></symbol><symbol><name>s</name><arity>1</arity></symbol></signature><signature><symbol><name>norm</name><arity>1</arity></symbol><symbol><name>f</name><arity>2</arity></symbol><symbol><name>rem</name><arity>2</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><state>2</state><state>3</state></finalStates><transitions><transition><lhs><name>nil</name><height>0</height></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>g</name><height>0</height><state>0</state><state>0</state></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>norm</name><height>0</height><state>0</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>f</name><height>0</height><state>0</state><state>0</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>rem</name><height>0</height><state>0</state><state>0</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>0</name><height>1</height></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>norm</name><height>1</height><state>0</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>s</name><height>1</height><state>4</state></lhs><rhs><state>1</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>5</state></rhs></transition><transition><lhs><name>g</name><height>1</height><state>5</state><state>0</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>f</name><height>1</height><state>0</state><state>0</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>g</name><height>1</height><state>6</state><state>0</state></lhs><rhs><state>2</state></rhs></transition><transition><lhs><name>nil</name><height>1</height></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>g</name><height>1</height><state>0</state><state>0</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>rem</name><height>1</height><state>0</state><state>0</state></lhs><rhs><state>3</state></rhs></transition><transition><lhs><name>0</name><height>1</height></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>s</name><height>1</height><state>4</state></lhs><rhs><state>4</state></rhs></transition><transition><lhs><name>g</name><height>1</height><state>5</state><state>0</state></lhs><rhs><state>6</state></rhs></transition><transition><lhs><name>g</name><height>1</height><state>6</state><state>0</state></lhs><rhs><state>6</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

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actions

all output return to Runti Compl Inner Rewri certi 34749