details

property	value
status	complete
benchmark	ExSec11_1_Luc02a.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n137.star.cs.uiowa.edu
space	Strategy_removed_mixed_05

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	3.13848 seconds
cpu usage	6.91659
user time	6.61333
system time	0.303256
max virtual memory	1.92574E7
max residence set size	616928.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED NO
certification-time	0.11
bare-result	NO

output

<?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><arg><funapp><name>terms</name><arg><funapp><name>s</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><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>add</name><arg><funapp><name>sqr</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>dbl</name><arg><var>X</var></arg></funapp></arg></funapp></arg></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><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>dbl</name><arg><var>X</var></arg></funapp></arg></funapp></arg></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><arg><var>X</var></arg></funapp></arg><arg><var>Y</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>add</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></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><arg><var>X</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>Y</var></arg><arg><var>Z</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><var>Y</var></arg><arg><funapp><name>first</name><arg><var>X</var></arg><arg><var>Z</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>half</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>half</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>half</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>half</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>half</name><arg><funapp><name>dbl</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsNonterminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>sqr</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>sqr</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>add</name></sharp><arg><funapp><name>sqr</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>dbl</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>sqr</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>sqr</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>sqr</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>dbl</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>dbl</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>dbl</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>add</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg><arg><var>Y</var></arg></funapp></lhs><rhs><funapp><sharp><name>add</name></sharp><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>first</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>Y</var></arg><arg><var>Z</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>first</name></sharp><arg><var>X</var></arg><arg><var>Z</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>half</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>half</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><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><arg><funapp><name>terms</name><arg><funapp><name>s</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><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>add</name><arg><funapp><name>sqr</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>dbl</name><arg><var>X</var></arg></funapp></arg></funapp></arg></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><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>dbl</name><arg><var>X</var></arg></funapp></arg></funapp></arg></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><arg><var>X</var></arg></funapp></arg><arg><var>Y</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>add</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></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><arg><var>X</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>Y</var></arg><arg><var>Z</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><var>Y</var></arg><arg><funapp><name>first</name><arg><var>X</var></arg><arg><var>Z</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>half</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>half</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>half</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>half</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>half</name><arg><funapp><name>dbl</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><innermostLhssIncreaseProc><innermostLhss><funapp><name>terms</name><arg><var>x0</var></arg></funapp><funapp><name>sqr</name><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>sqr</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp><funapp><name>dbl</name><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>dbl</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp><funapp><name>add</name><arg><funapp><name>0</name></funapp></arg><arg><var>x0</var></arg></funapp><funapp><name>add</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp><funapp><name>first</name><arg><funapp><name>0</name></funapp></arg><arg><var>x0</var></arg></funapp><funapp><name>first</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp><funapp><name>half</name><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>half</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><funapp><name>half</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp><funapp><name>half</name><arg><funapp><name>dbl</name><arg><var>x0</var></arg></funapp></arg></funapp></innermostLhss><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules/></trs><dpNonterminationProof><innermostLhssRemovalProc><innermostLhss/><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><loop><rewriteSequence><startTerm><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></startTerm><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rewriteStep></rewriteSequence><substitution><substEntry><var>z0</var><funapp><name>s</name><arg><var>z0</var></arg></funapp></substEntry></substitution><box/></loop></dpNonterminationProof></instantiationProc></dpNonterminationProof></instantiationProc></dpNonterminationProof></innermostLhssRemovalProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></innermostLhssIncreaseProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpTrans></trsNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (8 real / 0 unknown / 0 assumptions / 8 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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all output return to TRS Standard Certified