details

property	value
status	complete
benchmark	innermost2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	Mixed_innermost

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	1.81008 seconds
cpu usage	3.84925
user time	3.6454
system time	0.203855
max virtual memory	1.852436E7
max residence set size	301348.0

stage attributes

key	value
certification-result	CERTIFIED
output-size	7137
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>g</name><arg><funapp><name>c</name></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>g</name><arg><funapp><name>f</name><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></lhs><rhs><funapp><name>d</name></funapp></rhs></rule></rules></trs><strategy><innermost/></strategy></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>g</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>a</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>f</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</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>d</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>g</name><arg><funapp><name>c</name></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>g</name><arg><funapp><name>f</name><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>f</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule></rules></trs><trsTerminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>c</name></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>f</name><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>c</name></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>c</name></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>a</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>c</name></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>f</name><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>c</name></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>a</name><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>g</name></sharp><arg><funapp><name>c</name></funapp></arg><arg><funapp><name>g</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name><arg><funapp><name>b</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></dpTrans></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 % (3 real / 0 unknown / 0 assumptions / 3 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 TRS_Innermost Certified 2019-04-01 06.48