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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labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><innermostLhss><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></innermostLhss><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><labeledSymbol><sharp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol></sharp><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><sharp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol></sharp><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><monoRedPairUrProc><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><labeledSymbol><sharp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol></sharp><numberLabel><number>1</number></numberLabel></labeledSymbol><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><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><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><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><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><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><dps><rules/></dps><trs><rules/></trs><usableRules><rules/></usableRules><dpProof><pIsEmpty/></dpProof></monoRedPairUrProc></dpProof></component><component><dps><rules><rule><lhs><funapp><labeledSymbol><sharp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol></sharp><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><labeledSymbol><sharp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol></sharp><numberLabel><number>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><numberLabel><number>1</number></numberLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></semlabProc></dpProof></redPairProc></dpProof></dpTrans></trsTerminationProof></switchInnermost></trsTerminationProof></ruleRemoval></trsTerminationProof></semlab></trsTerminationProof></stringReversal></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 % (10 real / 0 unknown / 0 assumptions / 10 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>