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


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


WORST_CASE(?,O(n^1))
<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?>
<certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><complexityInput><trsInput><trs><rules><rule><lhs><funapp><name>filter</name><arg><funapp><name>cons</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>M</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>filter</name><arg><funapp><name>cons</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg><arg><var>M</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nats</name><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>sieve</name><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>sieve</name><arg><funapp><name>cons</name><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>zprimes</name></funapp></lhs><rhs><funapp><name>sieve</name><arg><funapp><name>nats</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><relativeRules><rules/></relativeRules></trsInput><derivationalComplexity><signature><symbol><name>0</name><arity>0</arity></symbol><symbol><name>cons</name><arity>1</arity></symbol><symbol><name>filter</name><arity>3</arity></symbol><symbol><name>nats</name><arity>1</arity></symbol><symbol><name>s</name><arity>1</arity></symbol><symbol><name>sieve</name><arity>1</arity></symbol><symbol><name>zprimes</name><arity>0</arity></symbol></signature></derivationalComplexity><polynomial>1</polynomial></complexityInput></input><cpfVersion>2.2</cpfVersion><proof><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><matrixInterpretation><domain><naturals/></domain><dimension>1</dimension><strictDimension>1</strictDimension></matrixInterpretation></type><interpret><name>0</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret><interpret><name>cons</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>filter</name><arity>3</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>2</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>nats</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>s</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>0</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>sieve</name><arity>1</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><product><polynomial><coefficient><vector><coefficient><integer>1</integer></coefficient></vector></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>zprimes</name><arity>0</arity><polynomial><sum><polynomial><coefficient><vector><coefficient><integer>9</integer></coefficient></vector></coefficient></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>filter</name><arg><funapp><name>cons</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>M</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>filter</name><arg><funapp><name>cons</name><arg><var>X</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg><arg><var>M</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nats</name><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>sieve</name><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>sieve</name><arg><funapp><name>cons</name><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>s</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>zprimes</name></funapp></lhs><rhs><funapp><name>sieve</name><arg><funapp><name>nats</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></trs><complexityProof><rIsEmpty/></complexityProof></ruleShifting></complexityProof></proof><origin><proofOrigin><tool><name>TcT</name><version/></tool></proofOrigin></origin></certificationProblem>