/export/starexec/sandbox/solver/bin/starexec_run_certified /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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<?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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bolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol></sharp><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><funapp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules/></trs><dpProof><semlabProc><model><finiteModel><carrierSize>2</carrierSize><interpret><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><arithFunction><natural>1</natural></arithFunction></interpret><interpret><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><arithFunction><sum><arithFunction><natural>1</natural></arithFunction><arithFunction><product><arithFunction><natural>1</natural></arithFunction><arithFunction><variable>1</variable></arithFunction></product></arithFunction></sum></arithFunction></interpret><interpret><sharp><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol></sharp><arity>1</arity><arithFunction><natural>0</natural></arithFunction></interpret><interpret><sharp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol></sharp><arity>1</arity><arithFunction><natural>0</natural></arithFunction></interpret><interpret><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><arithFunction><product><arithFunction><natural>1</natural></arithFunction><arithFunction><variable>1</variable></arithFunction></product></arithFunction></interpret><interpret><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><arithFunction><natural>0</natural></arithFunction></interpret></finiteModel></model><dps><rules><rule><lhs><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>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><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>1</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>0</number></numberLabel></labeledSymbol><arg><funapp><labeledSymbol><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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>b</name></symbolLabel></labeledSymbol><numberLabel><number>1</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><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</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></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>b</name></symbolLabel></labeledSymbol><numberLabel><number>1</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><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>1</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>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><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</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></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><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>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><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>1</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>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><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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><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</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></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><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>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><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>1</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>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><funapp><labeledSymbol><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><numberLabel><number>1</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><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></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>b</name></symbolLabel></labeledSymbol><numberLabel><number>1</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><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></semlabProc></dpProof><dpProof><redPairProc><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><sharp><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol></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><labeledSymbol><name>a</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><labeledSymbol><name>a</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></sum></polynomial></interpret><interpret><labeledSymbol><name>b</name><symbolLabel><name>a</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><labeledSymbol><name>b</name><symbolLabel><name>b</name></symbolLabel></labeledSymbol><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret></interpretation></redPair></orderingConstraintProof><dps><rules/></dps><dpProof><pIsEmpty/></dpProof></redPairProc></dpProof></splitProc></dpProof></dpTrans></trsTerminationProof></semlab></trsTerminationProof></flatContextClosure></trsTerminationProof></stringReversal></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished
</version><strategy>Statistics for single proof: 100.00 % (12 real / 0 unknown / 0 assumptions / 12 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>