/export/starexec/sandbox2/solver/bin/starexec_run_certified /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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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</arg><arg><var>Y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>first</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>Y</var></arg><arg><var>Z</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>first</name></sharp><arg><var>X</var></arg><arg><var>Z</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>terms</name><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>recip</name><arg><funapp><name>sqr</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>terms</name><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>sqr</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>sqr</name><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>add</name><arg><funapp><name>sqr</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>dbl</name><arg><var>X</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>dbl</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>dbl</name><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>dbl</name><arg><var>X</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>add</name><arg><funapp><name>0</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule><rule><lhs><funapp><name>add</name><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg><arg><var>Y</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>add</name><arg><var>X</var></arg><arg><var>Y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>first</name><arg><funapp><name>0</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>first</name><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>Y</var></arg><arg><var>Z</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><var>Y</var></arg><arg><funapp><name>first</name><arg><var>X</var></arg><arg><var>Z</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules/></trs><dpNonterminationProof><innermostLhssRemovalProc><innermostLhss/><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><loop><rewriteSequence><startTerm><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></startTerm><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule><funapp><sharp><name>terms</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>z0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rewriteStep></rewriteSequence><substitution><substEntry><var>z0</var><funapp><name>s</name><arg><var>z0</var></arg></funapp></substEntry></substitution><box/></loop></dpNonterminationProof></instantiationProc></dpNonterminationProof></instantiationProc></dpNonterminationProof></innermostLhssRemovalProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpTrans></trsNonterminationProof></innermostLhssIncrease></trsNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
</version><strategy>Statistics for single proof: 100.00 % (8 real / 0 unknown / 0 assumptions / 8 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>