details

property	value
status	complete
benchmark	test77.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n121.star.cs.uiowa.edu
space	Mixed_innermost

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	1.88747 seconds
cpu usage	4.21863
user time	4.02671
system time	0.191919
max virtual memory	1.8458464E7
max residence set size	311780.0

stage attributes

key	value
certification-result	CERTIFIED
output-size	12860
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>+</name><arg><var>X</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><var>X</var></rhs></rule><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>s</name><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>+</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>double</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>+</name><arg><var>X</var></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>f</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>f</name><arg><var>X</var></arg><arg><funapp><name>double</name><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>g</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule><rule><lhs><funapp><name>g</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></lhs><rhs><var>Y</var></rhs></rule></rules></trs><strategy><innermost/></strategy></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><name>+</name></sharp><arg><var>X</var></arg><arg><funapp><name>s</name><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>+</name></sharp><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>double</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>+</name></sharp><arg><var>X</var></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>X</var></arg><arg><funapp><name>double</name><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>double</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>X</var></arg><arg><funapp><name>double</name><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>double</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>+</name><arg><var>X</var></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><var>X</var></rhs></rule><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>s</name><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>+</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss><funapp><name>+</name><arg><var>x0</var></arg><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>+</name><arg><var>x0</var></arg><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>double</name><arg><var>x0</var></arg></funapp></innermostLhss><dpProof><rewritingProc><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>X</var></arg><arg><funapp><name>double</name><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>2</position></positionInTerm><rule><lhs><funapp><name>double</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>+</name><arg><var>X</var></arg><arg><var>X</var></arg></funapp></rhs></rule><funapp><sharp><name>f</name></sharp><arg><var>X</var></arg><arg><funapp><name>+</name><arg><var>X</var></arg><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>X</var></arg><arg><funapp><name>+</name><arg><var>X</var></arg><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>double</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>+</name><arg><var>X</var></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><var>X</var></rhs></rule><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>s</name><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>+</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><var>X</var></rhs></rule><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>s</name><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>+</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss><funapp><name>+</name><arg><var>x0</var></arg><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>+</name><arg><var>x0</var></arg><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></innermostLhss><dpProof><instantiationProc><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>X</var></arg><arg><funapp><name>+</name><arg><var>X</var></arg><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><instantiations><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>+</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule></rules></instantiations><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></usableRules><dpProof><rewritingProc><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>+</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>2</position></positionInTerm><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><var>X</var></rhs></rule><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>+</name><arg><var>X</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></usableRules><dpProof><usableRulesProc><usableRules><rules/></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss/><dpProof><instantiationProc><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><instantiations><rules/></instantiations><dpProof><pIsEmpty/></dpProof></instantiationProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></rewritingProc></dpProof></usableRulesProc></dpProof></instantiationProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></rewritingProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>double</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>double</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>+</name></sharp><arg><var>X</var></arg><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>+</name></sharp><arg><var>X</var></arg><arg><funapp><name>s</name><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>+</name></sharp><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules/></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss/><dpProof><sizeChangeProc><subtermCriterion/><sizeChangeGraph><rule><lhs><funapp><sharp><name>+</name></sharp><arg><var>X</var></arg><arg><funapp><name>s</name><arg><var>Y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>+</name></sharp><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></rhs></rule><edge><position>1</position><strict>false</strict><position>1</position></edge><edge><position>2</position><strict>true</strict><position>2</position></edge></sizeChangeGraph></sizeChangeProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component></depGraphProc></dpProof></dpTrans></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 % (17 real / 0 unknown / 0 assumptions / 17 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_Innermost Certified 2019-04-01 06.48