/export/starexec/sandbox2/solver/bin/starexec_run_certified /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


NO
<?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>f</name><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>h</name><arg><funapp><name>f</name><arg><var>y</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsNonterminationProof><innermostLhssIncrease><innermostLhss><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></innermostLhss><trsNonterminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>y</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>y</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>h</name><arg><funapp><name>f</name><arg><var>y</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>y</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><funapp><name>h</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><var>y_0</var></arg></funapp></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><switchFullStrategyProc><wcrProof><joinableCriticalPairsBFS>0</joinableCriticalPairsBFS></wcrProof><dpNonterminationProof><loop><rewriteSequence><startTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>f</name><arg><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y''</var></arg></funapp></arg><arg><funapp><name>h</name><arg><var>x''</var></arg></funapp></arg></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x'</var></arg></funapp></arg><arg><var>y'''</var></arg></funapp></arg><arg><funapp><name>h</name><arg><var>x'''</var></arg></funapp></arg></funapp></arg></funapp></startTerm><rewriteStep><positionInTerm><position>1</position><position>1</position></positionInTerm><rule><lhs><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x1</var></arg></funapp></arg><arg><var>y''''</var></arg></funapp></lhs><rhs><funapp><name>h</name><arg><funapp><name>f</name><arg><var>y''''</var></arg><arg><funapp><name>f</name><arg><var>x1</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><relative/><funapp><sharp><name>f</name></sharp><arg><funapp><name>f</name><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><var>y''</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>h</name><arg><var>x''</var></arg></funapp></arg></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x'</var></arg></funapp></arg><arg><var>y'''</var></arg></funapp></arg><arg><funapp><name>h</name><arg><var>x'''</var></arg></funapp></arg></funapp></arg></funapp></rewriteStep><rewriteStep><positionInTerm><position>1</position></positionInTerm><rule><lhs><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x'1</var></arg></funapp></arg><arg><var>y'</var></arg></funapp></lhs><rhs><funapp><name>h</name><arg><funapp><name>f</name><arg><var>y'</var></arg><arg><funapp><name>f</name><arg><var>x'1</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><relative/><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x''</var></arg></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>f</name><arg><var>y''</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x'</var></arg></funapp></arg><arg><var>y'''</var></arg></funapp></arg><arg><funapp><name>h</name><arg><var>x'''</var></arg></funapp></arg></funapp></arg></funapp></rewriteStep><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>h</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><var>y</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><funapp><sharp><name>f</name></sharp><arg><funapp><name>f</name><arg><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x'</var></arg></funapp></arg><arg><var>y'''</var></arg></funapp></arg><arg><funapp><name>h</name><arg><var>x'''</var></arg></funapp></arg></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>f</name><arg><funapp><name>h</name><arg><var>x''</var></arg></funapp></arg><arg><funapp><name>f</name><arg><funapp><name>f</name><arg><var>y''</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rewriteStep></rewriteSequence><substitution><substEntry><var>y''</var><var>y'''</var></substEntry><substEntry><var>x</var><var>x'</var></substEntry><substEntry><var>x'</var><var>x''</var></substEntry><substEntry><var>x''</var><var>x'''</var></substEntry><substEntry><var>y'''</var><funapp><name>f</name><arg><funapp><name>f</name><arg><var>y''</var></arg><arg><funapp><name>f</name><arg><var>x</var></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>h</name><arg><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></arg></funapp></arg></funapp></substEntry><substEntry><var>x'''</var><funapp><name>f</name><arg><funapp><name>a</name></funapp></arg><arg><funapp><name>a</name></funapp></arg></funapp></substEntry></substitution><box/></loop></dpNonterminationProof></switchFullStrategyProc></dpNonterminationProof></instantiationProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpTrans></trsNonterminationProof></innermostLhssIncrease></trsNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished
</version><strategy>Statistics for single proof: 100.00 % (6 real / 0 unknown / 0 assumptions / 6 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>