/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" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><trsInput><trs><rules><rule><lhs><funapp><name>a</name><arg><funapp><name>L</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>L</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>R</name><arg><funapp><name>a</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a</name><arg><funapp><name>R</name><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>b</name><arg><funapp><name>L</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>b</name><arg><funapp><name>R</name><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>R</name><arg><funapp><name>b</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>L</name><arg><funapp><name>a</name><arg><funapp><name>b</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsNonterminationProof><nonterminatingSRS><derivationPatterns><derivationPatternProof><OC1><overlapClosureSRS><string><name>R</name><name>a</name></string><string><name>a</name><name>R</name></string></overlapClosureSRS><isPair>false</isPair></OC1></derivationPatternProof><derivationPatternProof><OCintoDP2><derivationPattern><wordPattern><string><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string/></wordPattern><wordPattern><string/><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>R</name></string></wordPattern></derivationPattern><overlapClosureSRS><string><name>R</name><name>a</name></string><string><name>a</name><name>R</name></string></overlapClosureSRS></OCintoDP2></derivationPatternProof><derivationPatternProof><OC1><overlapClosureSRS><string><name>R</name><name>b</name></string><string><name>L</name><name>a</name><name>b</name></string></overlapClosureSRS><isPair>false</isPair></OC1></derivationPatternProof><derivationPatternProof><DP_OC_3_2><derivationPattern><wordPattern><string><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>b</name></string></wordPattern><wordPattern><string/><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>L</name><name>a</name><name>b</name></string></wordPattern></derivationPattern><derivationPattern><wordPattern><string><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string/></wordPattern><wordPattern><string/><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>R</name></string></wordPattern></derivationPattern><overlapClosureSRS><string><name>R</name><name>b</name></string><string><name>L</name><name>a</name><name>b</name></string></overlapClosureSRS><string/><string><name>b</name></string><string><name>R</name></string></DP_OC_3_2></derivationPatternProof><derivationPatternProof><OC1><overlapClosureSRS><string><name>a</name><name>L</name></string><string><name>L</name><name>a</name></string></overlapClosureSRS><isPair>false</isPair></OC1></derivationPatternProof><derivationPatternProof><OCintoDP1><derivationPattern><wordPattern><string/><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>L</name></string></wordPattern><wordPattern><string><name>L</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string/></wordPattern></derivationPattern><overlapClosureSRS><string><name>a</name><name>L</name></string><string><name>L</name><name>a</name></string></overlapClosureSRS></OCintoDP1></derivationPatternProof><derivationPatternProof><DP_DP_2_1><derivationPattern><wordPattern><string><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>b</name></string></wordPattern><wordPattern><string><name>L</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>a</name><name>b</name></string></wordPattern></derivationPattern><derivationPattern><wordPattern><string><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>b</name></string></wordPattern><wordPattern><string/><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>L</name><name>a</name><name>b</name></string></wordPattern></derivationPattern><derivationPattern><wordPattern><string/><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>L</name></string></wordPattern><wordPattern><string><name>L</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string/></wordPattern></derivationPattern><string/><string><name>a</name><name>b</name></string></DP_DP_2_1></derivationPatternProof><derivationPatternProof><equivalent><derivationPattern><wordPattern><string><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>b</name></string></wordPattern><wordPattern><string><name>L</name></string><string><name>a</name></string><factor>1</factor><constant>1</constant><string><name>b</name></string></wordPattern></derivationPattern><derivationPattern><wordPattern><string><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>b</name></string></wordPattern><wordPattern><string><name>L</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>a</name><name>b</name></string></wordPattern></derivationPattern></equivalent></derivationPatternProof><derivationPatternProof><OC1><overlapClosureSRS><string><name>b</name><name>L</name></string><string><name>b</name><name>R</name></string></overlapClosureSRS><isPair>false</isPair></OC1></derivationPatternProof><derivationPatternProof><DP_OC_1_2><derivationPattern><wordPattern><string><name>b</name><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>b</name></string></wordPattern><wordPattern><string><name>b</name><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>1</constant><string><name>b</name></string></wordPattern></derivationPattern><derivationPattern><wordPattern><string><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>b</name></string></wordPattern><wordPattern><string><name>L</name></string><string><name>a</name></string><factor>1</factor><constant>1</constant><string><name>b</name></string></wordPattern></derivationPattern><overlapClosureSRS><string><name>b</name><name>L</name></string><string><name>b</name><name>R</name></string></overlapClosureSRS><string><name>b</name></string><string/><string><name>L</name></string></DP_OC_1_2></derivationPatternProof></derivationPatterns><selfEmbeddingDP><derivationPattern><wordPattern><string><name>b</name><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>0</constant><string><name>b</name></string></wordPattern><wordPattern><string><name>b</name><name>R</name></string><string><name>a</name></string><factor>1</factor><constant>1</constant><string><name>b</name></string></wordPattern></derivationPattern><string/><string/></selfEmbeddingDP></nonterminatingSRS></trsNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished
</version><strategy>Statistics for single proof: 100.00 % (1 real / 0 unknown / 0 assumptions / 1 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>