/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>min</name><arg><var>x</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>min</name><arg><funapp><name>0</name></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>min</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>min</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>max</name><arg><var>x</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><var>x</var></rhs></rule><rule><lhs><funapp><name>max</name><arg><funapp><name>0</name></funapp></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>y</var></rhs></rule><rule><lhs><funapp><name>max</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>max</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>-</name><arg><var>x</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><var>x</var></rhs></rule><rule><lhs><funapp><name>-</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>-</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>gcd</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><funapp><name>nil</name></funapp></arg></funapp></arg></funapp></lhs><rhs><var>x</var></rhs></rule><rule><lhs><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gcd</name><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><funapp><name>-</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeRules><rules><rule><lhs><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><funapp><name>max</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><funapp><name>min</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></relativeRules></trsInput></input><cpfVersion>2.1</cpfVersion><proof><relativeNonterminationProof><loop><rewriteSequence><startTerm><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></startTerm><rewriteStep><positionInTerm/><rule><lhs><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><funapp><name>-</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><funapp><name>gcd</name><arg><funapp><name>cons</name><arg><funapp><name>-</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>z</var></arg></funapp></arg></funapp></arg></funapp></rewriteStep></rewriteSequence><substitution><substEntry><var>x</var><funapp><name>-</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></substEntry><substEntry><var>y</var><var>y</var></substEntry><substEntry><var>z</var><var>z</var></substEntry></substitution><box/></loop></relativeNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty
</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>