details

property	value
status	complete
benchmark	Ex14_Luc06_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n176.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	1.98946 seconds
cpu usage	4.28531
user time	4.0787
system time	0.206616
max virtual memory	1.8591412E7
max residence set size	319984.0

stage attributes

key	value
certification-result	CERTIFIED
output-size	27599
starexec-result	YES
certification-time	0.1

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" 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lynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>b</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>a__a</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>h</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>g</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>f</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__g</name></sharp><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__f</name></sharp><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__h</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>mark</name></sharp><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><dps><rules><rule><lhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__f</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__f</name></sharp><arg><var>X</var></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a__a</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>a__h</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>a__g</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__g</name><arg><funapp><name>a</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>a__f</name><arg><funapp><name>b</name></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__f</name><arg><var>X</var></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>a__h</name><arg><funapp><name>a__a</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__a</name></funapp></lhs><rhs><funapp><name>b</name></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>h</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__h</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>g</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__g</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>a__a</name></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>f</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__f</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>b</name></funapp></arg></funapp></lhs><rhs><funapp><name>b</name></funapp></rhs></rule><rule><lhs><funapp><name>a__h</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>h</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__g</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>g</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__a</name></funapp></lhs><rhs><funapp><name>a</name></funapp></rhs></rule><rule><lhs><funapp><name>a__f</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>f</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule></rules></trs><dpProof><narrowingProc><rule><lhs><funapp><sharp><name>a__f</name></sharp><arg><var>X</var></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a__a</name></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>a__f</name></sharp><arg><var>y0</var></arg><arg><var>y0</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>b</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__f</name></sharp><arg><var>y0</var></arg><arg><var>y0</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></narrowings><dpProof><instantiationProc><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><instantiations><rules><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>b</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>mark</name><arg><funapp><name>b</name></funapp></arg></funapp></arg><arg><funapp><name>b</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>mark</name><arg><funapp><name>a</name></funapp></arg></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></instantiations><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>a__f</name></sharp><arg><var>y0</var></arg><arg><var>y0</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>mark</name><arg><funapp><name>a</name></funapp></arg></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__f</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>mark</name><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><name>a__a</name></funapp></rhs></rule><rule><lhs><funapp><name>a__a</name></funapp></lhs><rhs><funapp><name>b</name></funapp></rhs></rule><rule><lhs><funapp><name>a__a</name></funapp></lhs><rhs><funapp><name>a</name></funapp></rhs></rule></rules></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss><funapp><name>a__a</name></funapp><funapp><name>mark</name><arg><funapp><name>h</name><arg><var>x0</var></arg></funapp></arg></funapp><funapp><name>mark</name><arg><funapp><name>g</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>mark</name><arg><funapp><name>a</name></funapp></arg></funapp><funapp><name>mark</name><arg><funapp><name>f</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>mark</name><arg><funapp><name>b</name></funapp></arg></funapp></innermostLhss><dpProof><narrowingProc><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>mark</name><arg><funapp><name>a</name></funapp></arg></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a__a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></narrowings><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>a__a</name></funapp></lhs><rhs><funapp><name>b</name></funapp></rhs></rule><rule><lhs><funapp><name>a__a</name></funapp></lhs><rhs><funapp><name>a</name></funapp></rhs></rule></rules></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss><funapp><name>a__a</name></funapp></innermostLhss><dpProof><narrowingProc><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a__a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></narrowings><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__f</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__f</name></sharp><arg><var>y0</var></arg><arg><var>y0</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules/></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss/><dpProof><instantiationProc><rule><lhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__f</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><var>X</var></arg></funapp></rhs></rule><instantiations><rules><rule><lhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__f</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></instantiations><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>a__f</name></sharp><arg><var>y0</var></arg><arg><var>y0</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__f</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></instantiationProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>b</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></narrowingProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></narrowingProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__f</name></sharp><arg><var>y0</var></arg><arg><var>y0</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>b</name></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__h</name></sharp><arg><funapp><name>b</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__g</name></sharp><arg><funapp><name>mark</name><arg><funapp><name>b</name></funapp></arg></funapp></arg><arg><funapp><name>b</name></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></instantiationProc></dpProof></narrowingProc></dpProof></monoRedPairProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__f</name></sharp><arg><var>X</var></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__a</name></sharp></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>a</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__a</name></sharp></funapp></rhs></rule></rules></dps><realScc>false</realScc></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