details

property	value
status	complete
benchmark	Ex26_Luc03b_L.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n002.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	1.6223 seconds
cpu usage	3.19144
user time	3.03969
system time	0.151748
max virtual memory	1.8522064E7
max residence set size	222548.0

stage attributes

key	value
certification-result	CERTIFIED
output-size	3875
starexec-result	YES
certification-time	0.0

output

YES <?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><trsInput><trs><rules><rule><lhs><funapp><name>terms</name><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>recip</name><arg><funapp><name>sqr</name><arg><var>N</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>sqr</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>sqr</name><arg><funapp><name>s</name></funapp></arg></funapp></lhs><rhs><funapp><name>s</name></funapp></rhs></rule><rule><lhs><funapp><name>dbl</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>dbl</name><arg><funapp><name>s</name></funapp></arg></funapp></lhs><rhs><funapp><name>s</name></funapp></rhs></rule><rule><lhs><funapp><name>add</name><arg><funapp><name>0</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule><rule><lhs><funapp><name>add</name><arg><funapp><name>s</name></funapp></arg><arg><var>Y</var></arg></funapp></lhs><rhs><funapp><name>s</name></funapp></rhs></rule><rule><lhs><funapp><name>first</name><arg><funapp><name>0</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>first</name><arg><funapp><name>s</name></funapp></arg><arg><funapp><name>cons</name><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><var>Y</var></arg></funapp></rhs></rule></rules></trs><strategy><innermost/></strategy></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><knuthBendixOrder><w0>1</w0><precedenceWeight><precedenceWeightEntry><name>0</name><arity>0</arity><precedence>4</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>s</name><arity>0</arity><precedence>5</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>nil</name><arity>0</arity><precedence>7</precedence><weight>2</weight></precedenceWeightEntry><precedenceWeightEntry><name>terms</name><arity>1</arity><precedence>1</precedence><weight>3</weight></precedenceWeightEntry><precedenceWeightEntry><name>cons</name><arity>1</arity><precedence>0</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>recip</name><arity>1</arity><precedence>3</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>sqr</name><arity>1</arity><precedence>2</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>dbl</name><arity>1</arity><precedence>9</precedence><weight>0</weight></precedenceWeightEntry><precedenceWeightEntry><name>add</name><arity>2</arity><precedence>6</precedence><weight>0</weight></precedenceWeightEntry><precedenceWeightEntry><name>first</name><arity>2</arity><precedence>8</precedence><weight>0</weight></precedenceWeightEntry></precedenceWeight></knuthBendixOrder></redPair></orderingConstraintProof><trs><rules/></trs><trsTerminationProof><rIsEmpty/></trsTerminationProof></ruleRemoval></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (2 real / 0 unknown / 0 assumptions / 2 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.

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actions

all output return to TRS_Innermost Certified 2019-04-01 06.48