details

property	value
status	complete
benchmark	otto06.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	3.11304 seconds
cpu usage	8.34561
user time	8.00198
system time	0.343632
max virtual memory	1.866496E7
max residence set size	466344.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED YES
certification-time	1.15
bare-result	YES

output

<?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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p></lhs><rhs><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>plus</name><arg><funapp><name>length</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>plus</name></sharp><arg><funapp><name>length</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>plus</name></sharp><arg><var>x</var></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>plus</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>length</name></sharp><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>helpa</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>c</var></arg><arg><var>l</var></arg></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>helpa</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>ge</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>ge</name></sharp><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><sharp><name>ge</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>greater</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpc</name></sharp><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>ge</name></sharp><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>ys</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>zs</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpc</name></sharp><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>ge</name></sharp><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>ys</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>zs</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>ys</var></arg></funapp></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>c</var></arg></funapp></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>plus</name><arg><funapp><name>length</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>y</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>greater</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>ys</var></arg></funapp></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>c</var></arg></funapp></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>helpa</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>c</var></arg><arg><var>l</var></arg></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>ge</name><arg><var>x</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</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>ge</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>greater</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>true</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>ys</var></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>false</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>zs</var></rhs></rule></rules></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>ge</name><arg><var>x0</var></arg><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>greater</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp><funapp><name>smaller</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp><funapp><name>helpc</name><arg><funapp><name>true</name></funapp></arg><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp><funapp><name>helpc</name><arg><funapp><name>false</name></funapp></arg><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></innermostLhss><dpProof><rewritingProc><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>greater</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>3</position></positionInTerm><rule><lhs><funapp><name>greater</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>greater</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>ge</name><arg><var>x</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</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>ge</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>true</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>ys</var></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>false</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>zs</var></rhs></rule></rules></usableRules><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>ge</name><arg><var>x</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</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>ge</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>true</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>ys</var></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>false</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>zs</var></rhs></rule><rule><lhs><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></rhs></rule></rules></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>ge</name><arg><var>x0</var></arg><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>smaller</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp><funapp><name>helpc</name><arg><funapp><name>true</name></funapp></arg><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp><funapp><name>helpc</name><arg><funapp><name>false</name></funapp></arg><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></innermostLhss><dpProof><rewritingProc><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>4</position></positionInTerm><rule><lhs><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></rhs></rule><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>smaller</name><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>ge</name><arg><var>x</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</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>ge</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>true</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>ys</var></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>false</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>zs</var></rhs></rule></rules></usableRules><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>ge</name><arg><var>x</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>ge</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>ge</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>true</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>ys</var></rhs></rule><rule><lhs><funapp><name>helpc</name><arg><funapp><name>false</name></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><var>zs</var></rhs></rule></rules></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>ge</name><arg><var>x0</var></arg><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>helpc</name><arg><funapp><name>true</name></funapp></arg><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp><funapp><name>helpc</name><arg><funapp><name>false</name></funapp></arg><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></innermostLhss><dpProof><generalRedPairProc><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>-2</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>helpa</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>-1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><coefficient><integer>-1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>helpb</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>-1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>-1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><coefficient><integer>-1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>if</name></sharp><arity>5</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>-1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>-1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><coefficient><integer>-1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>cons</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><integer>1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>ge</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>false</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>helpc</name><arity>3</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>length</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>0</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>true</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><strict><rules><rule><lhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>ys</var></arg></funapp></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>c</var></arg></funapp></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule></rules></strict><bound><rules><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></arg></funapp></rhs></rule></rules></bound><condRedPairProof><name>c</name><before>1</before><after>0</after><conditions><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><rewrite/><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>helpa</name></sharp><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></lhs><rhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x47</var></arg><arg><var>x46</var></arg></funapp></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><rewrite/><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x40</var><rewrite/><var>x44</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x41</var><rewrite/><var>x45</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x42</var><rewrite/><var>x46</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x43</var><rewrite/><var>x47</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x44</var><var>x40</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x41</var><rewrite/><var>x45</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x42</var><rewrite/><var>x46</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x43</var><rewrite/><var>x47</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x40</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x45</var><var>x41</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x42</var><rewrite/><var>x46</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x43</var><rewrite/><var>x47</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x46</var><var>x42</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x43</var><rewrite/><var>x47</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x47</var><var>x43</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><var>x92</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x92</var></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x93</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x93</var></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x93</var></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x95</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x94</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp><var>x42</var><var>x43</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x96</var><conditionalConstraint><all><var>x97</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x95</var></arg><arg><var>x94</var></arg><arg><var>x96</var></arg><arg><var>x97</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x95</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x94</var></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><all><var>x96</var><conditionalConstraint><all><var>x97</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x95</var></arg><arg><var>x94</var></arg><arg><var>x96</var></arg><arg><var>x97</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><substitution><substEntry><var>x96</var><var>x42</var></substEntry><substEntry><var>x97</var><var>x43</var></substEntry></substitution><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x95</var></arg><arg><var>x94</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x95</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x94</var></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp></arg></funapp><rewrite/><funapp><sharp><name>helpb</name></sharp><arg><var>x13</var></arg><arg><var>x14</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x13</var></arg><arg><var>x14</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x13</var></arg></funapp></arg><arg><var>x14</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>helpb</name></sharp><arg><var>x13</var></arg><arg><var>x14</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x13</var></arg></funapp></arg><arg><var>x14</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp></arg></funapp><rewrite/><funapp><sharp><name>helpb</name></sharp><arg><var>x13</var></arg><arg><var>x14</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x9</var><rewrite/><var>x13</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x10</var><rewrite/><var>x14</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x13</var></arg><arg><var>x14</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x13</var></arg></funapp></arg><arg><var>x14</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x13</var><var>x9</var><conditionalConstraint><implication><conditionalConstraint><constraint><var>x10</var><rewrite/><var>x14</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x14</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x14</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x14</var><var>x10</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><funargIntoVar><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><position>1</position><var>x52</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x52</var></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><funargIntoVar><conditionalConstraint><constraint><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><position>2</position><var>x54</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x52</var></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x12</var></arg></funapp><rewrite/><var>x54</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><var>x54</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><funargIntoVar><conditionalConstraint><constraint><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><var>x54</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><position>1</position><var>x53</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x11</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x12</var></arg></funapp><rewrite/><var>x54</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x52</var></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><funargIntoVar><conditionalConstraint><constraint><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><position>1</position><var>x55</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x11</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x12</var></arg></funapp><rewrite/><var>x54</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x52</var></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><funargIntoVar><conditionalConstraint><constraint><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x12</var></arg></funapp></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><position>2</position><var>x57</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x11</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x12</var></arg></funapp><rewrite/><var>x54</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x52</var></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x12</var></arg></funapp><rewrite/><var>x57</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><funargIntoVar><conditionalConstraint><constraint><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x11</var></arg></funapp></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><position>1</position><var>x56</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x11</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x12</var></arg></funapp><rewrite/><var>x54</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x52</var></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x11</var></arg></funapp><rewrite/><var>x56</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>length</name><arg><var>x12</var></arg></funapp><rewrite/><var>x57</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x52</var></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x52</var></arg><arg><var>x11</var></arg><arg><var>x12</var></arg></funapp><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x12</var></arg><arg><var>x11</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>helpc</name><arg><funapp><name>true</name></funapp></arg><arg><var>x59</var></arg><arg><var>x58</var></arg></funapp></lhs><rhs><var>x59</var></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><var>x59</var><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><var>x59</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x59</var><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><funargIntoVar><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><position>3</position><var>x62</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x62</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><var>x62</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x62</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><var>x62</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><var>x63</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x62</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><var>x62</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x62</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><var>x62</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x62</var><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x64</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x66</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x65</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>ge</name><arg><var>x66</var></arg><arg><var>x65</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>ge</name><arg><var>x66</var></arg><arg><var>x65</var></arg></funapp><var>x56</var><var>x57</var><var>x55</var><var>x15</var><var>x16</var><var>x62</var><var>x58</var><var>x17</var><var>x9</var><var>x10</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x66</var></arg><arg><var>x65</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x62</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x58</var></arg><arg><var>x62</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x67</var><conditionalConstraint><all><var>x68</var><conditionalConstraint><all><var>x69</var><conditionalConstraint><all><var>x70</var><conditionalConstraint><all><var>x71</var><conditionalConstraint><all><var>x72</var><conditionalConstraint><all><var>x73</var><conditionalConstraint><all><var>x74</var><conditionalConstraint><all><var>x75</var><conditionalConstraint><all><var>x76</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x66</var></arg><arg><var>x65</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x67</var></arg><arg><var>x68</var></arg></funapp><rewrite/><var>x69</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x70</var></arg><arg><var>x71</var></arg></funapp><rewrite/><var>x72</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x69</var></arg><arg><var>x73</var></arg><arg><var>x72</var></arg></funapp><rewrite/><var>x74</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x75</var></arg><arg><var>x76</var></arg><arg><funapp><name>cons</name><arg><var>x70</var></arg><arg><var>x71</var></arg></funapp></arg><arg><var>x74</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x75</var></arg></funapp></arg><arg><var>x76</var></arg><arg><var>x71</var></arg><arg><var>x74</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><all><var>x67</var><conditionalConstraint><all><var>x68</var><conditionalConstraint><all><var>x69</var><conditionalConstraint><all><var>x70</var><conditionalConstraint><all><var>x71</var><conditionalConstraint><all><var>x72</var><conditionalConstraint><all><var>x73</var><conditionalConstraint><all><var>x74</var><conditionalConstraint><all><var>x75</var><conditionalConstraint><all><var>x76</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x66</var></arg><arg><var>x65</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x67</var></arg><arg><var>x68</var></arg></funapp><rewrite/><var>x69</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x70</var></arg><arg><var>x71</var></arg></funapp><rewrite/><var>x72</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x69</var></arg><arg><var>x73</var></arg><arg><var>x72</var></arg></funapp><rewrite/><var>x74</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x75</var></arg><arg><var>x76</var></arg><arg><funapp><name>cons</name><arg><var>x70</var></arg><arg><var>x71</var></arg></funapp></arg><arg><var>x74</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x75</var></arg></funapp></arg><arg><var>x76</var></arg><arg><var>x71</var></arg><arg><var>x74</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><substitution><substEntry><var>x67</var><var>x56</var></substEntry><substEntry><var>x68</var><var>x57</var></substEntry><substEntry><var>x69</var><var>x55</var></substEntry><substEntry><var>x70</var><var>x15</var></substEntry><substEntry><var>x71</var><var>x16</var></substEntry><substEntry><var>x72</var><var>x62</var></substEntry><substEntry><var>x73</var><var>x58</var></substEntry><substEntry><var>x74</var><var>x17</var></substEntry><substEntry><var>x75</var><var>x9</var></substEntry><substEntry><var>x76</var><var>x10</var></substEntry></substitution><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></funargIntoVar></conditionalConstraintProof></variableEquation></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>helpc</name><arg><funapp><name>false</name></funapp></arg><arg><var>x61</var></arg><arg><var>x60</var></arg></funapp></lhs><rhs><var>x60</var></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><var>x60</var><rewrite/><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x60</var></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x60</var><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><funargIntoVar><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><position>2</position><var>x77</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x77</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x77</var></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x53</var></arg><arg><var>x54</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x77</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x77</var></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><var>x78</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x79</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x77</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x77</var></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x77</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x77</var></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x77</var><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x81</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x80</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>ge</name><arg><var>x81</var></arg><arg><var>x80</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>ge</name><arg><var>x81</var></arg><arg><var>x80</var></arg></funapp><var>x56</var><var>x57</var><var>x55</var><var>x15</var><var>x16</var><var>x77</var><var>x61</var><var>x17</var><var>x9</var><var>x10</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x81</var></arg><arg><var>x80</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x56</var></arg><arg><var>x57</var></arg></funapp><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp><rewrite/><var>x77</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x55</var></arg><arg><var>x77</var></arg><arg><var>x61</var></arg></funapp><rewrite/><var>x17</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x82</var><conditionalConstraint><all><var>x83</var><conditionalConstraint><all><var>x84</var><conditionalConstraint><all><var>x85</var><conditionalConstraint><all><var>x86</var><conditionalConstraint><all><var>x87</var><conditionalConstraint><all><var>x88</var><conditionalConstraint><all><var>x89</var><conditionalConstraint><all><var>x90</var><conditionalConstraint><all><var>x91</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x81</var></arg><arg><var>x80</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x82</var></arg><arg><var>x83</var></arg></funapp><rewrite/><var>x84</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x85</var></arg><arg><var>x86</var></arg></funapp><rewrite/><var>x87</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x84</var></arg><arg><var>x87</var></arg><arg><var>x88</var></arg></funapp><rewrite/><var>x89</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x90</var></arg><arg><var>x91</var></arg><arg><funapp><name>cons</name><arg><var>x85</var></arg><arg><var>x86</var></arg></funapp></arg><arg><var>x89</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x90</var></arg></funapp></arg><arg><var>x91</var></arg><arg><var>x86</var></arg><arg><var>x89</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><all><var>x82</var><conditionalConstraint><all><var>x83</var><conditionalConstraint><all><var>x84</var><conditionalConstraint><all><var>x85</var><conditionalConstraint><all><var>x86</var><conditionalConstraint><all><var>x87</var><conditionalConstraint><all><var>x88</var><conditionalConstraint><all><var>x89</var><conditionalConstraint><all><var>x90</var><conditionalConstraint><all><var>x91</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x81</var></arg><arg><var>x80</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x82</var></arg><arg><var>x83</var></arg></funapp><rewrite/><var>x84</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>cons</name><arg><var>x85</var></arg><arg><var>x86</var></arg></funapp><rewrite/><var>x87</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>helpc</name><arg><var>x84</var></arg><arg><var>x87</var></arg><arg><var>x88</var></arg></funapp><rewrite/><var>x89</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x90</var></arg><arg><var>x91</var></arg><arg><funapp><name>cons</name><arg><var>x85</var></arg><arg><var>x86</var></arg></funapp></arg><arg><var>x89</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x90</var></arg></funapp></arg><arg><var>x91</var></arg><arg><var>x86</var></arg><arg><var>x89</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><substitution><substEntry><var>x82</var><var>x56</var></substEntry><substEntry><var>x83</var><var>x57</var></substEntry><substEntry><var>x84</var><var>x55</var></substEntry><substEntry><var>x85</var><var>x15</var></substEntry><substEntry><var>x86</var><var>x16</var></substEntry><substEntry><var>x87</var><var>x77</var></substEntry><substEntry><var>x88</var><var>x61</var></substEntry><substEntry><var>x89</var><var>x17</var></substEntry><substEntry><var>x90</var><var>x9</var></substEntry><substEntry><var>x91</var><var>x10</var></substEntry></substitution><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpb</name></sharp><arg><var>x9</var></arg><arg><var>x10</var></arg><arg><funapp><name>cons</name><arg><var>x15</var></arg><arg><var>x16</var></arg></funapp></arg><arg><var>x17</var></arg></funapp><strict/><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x9</var></arg></funapp></arg><arg><var>x10</var></arg><arg><var>x16</var></arg><arg><var>x17</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></funargIntoVar></conditionalConstraintProof></variableEquation></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></funargIntoVar></conditionalConstraintProof></funargIntoVar></conditionalConstraintProof></funargIntoVar></conditionalConstraintProof></funargIntoVar></conditionalConstraintProof></funargIntoVar></conditionalConstraintProof></funargIntoVar></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg><arg><var>x21</var></arg><arg><var>x22</var></arg></funapp><rewrite/><funapp><sharp><name>helpa</name></sharp><arg><var>x23</var></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpa</name></sharp><arg><var>x23</var></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp><nonStrict/><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>x23</var></arg><arg><var>x24</var></arg></funapp></arg><arg><var>x23</var></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>helpb</name></sharp><arg><var>x18</var></arg><arg><var>x19</var></arg><arg><funapp><name>cons</name><arg><var>x20</var></arg><arg><var>x21</var></arg></funapp></arg><arg><var>x22</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg><arg><var>x21</var></arg><arg><var>x22</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>helpa</name></sharp><arg><var>x23</var></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp></lhs><rhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>x23</var></arg><arg><var>x24</var></arg></funapp></arg><arg><var>x23</var></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg><arg><var>x21</var></arg><arg><var>x22</var></arg></funapp><rewrite/><funapp><sharp><name>helpa</name></sharp><arg><var>x23</var></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x18</var></arg></funapp><rewrite/><var>x23</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x19</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x21</var><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x26</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpa</name></sharp><arg><var>x23</var></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp><nonStrict/><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>x23</var></arg><arg><var>x24</var></arg></funapp></arg><arg><var>x23</var></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x23</var><funapp><name>s</name><arg><var>x18</var></arg></funapp><conditionalConstraint><implication><conditionalConstraint><constraint><var>x19</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x21</var><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x26</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp><nonStrict/><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x24</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x24</var><var>x19</var><conditionalConstraint><implication><conditionalConstraint><constraint><var>x21</var><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x26</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp><nonStrict/><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg><arg><var>x25</var></arg><arg><var>x26</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x25</var><var>x21</var><conditionalConstraint><implication><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x26</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg><arg><var>x21</var></arg><arg><var>x26</var></arg></funapp><nonStrict/><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg><arg><var>x21</var></arg><arg><var>x26</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x26</var><var>x22</var><conditionalConstraint><constraint><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg><arg><var>x21</var></arg><arg><var>x22</var></arg></funapp><nonStrict/><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x18</var></arg></funapp></arg><arg><var>x19</var></arg><arg><var>x21</var></arg><arg><var>x22</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><rewrite/><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x47</var></arg><arg><var>x46</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>helpa</name></sharp><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></lhs><rhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x47</var></arg><arg><var>x46</var></arg></funapp></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><rewrite/><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x40</var><rewrite/><var>x44</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x41</var><rewrite/><var>x45</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x42</var><rewrite/><var>x46</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x43</var><rewrite/><var>x47</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x44</var></arg><arg><var>x45</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x47</var></arg><arg><var>x46</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x44</var><var>x40</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x41</var><rewrite/><var>x45</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x42</var><rewrite/><var>x46</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x43</var><rewrite/><var>x47</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x40</var></arg><arg><var>x45</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x40</var></arg><arg><var>x45</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x47</var></arg><arg><var>x46</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x45</var><var>x41</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x42</var><rewrite/><var>x46</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x43</var><rewrite/><var>x47</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x46</var></arg><arg><var>x47</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x46</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x47</var></arg><arg><var>x46</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x46</var><var>x42</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x43</var><rewrite/><var>x47</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x47</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x47</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x47</var></arg></funapp></arg></funapp></arg><arg><var>x47</var></arg><arg><var>x42</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x47</var><var>x43</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x40</var></arg><arg><var>x41</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x43</var></arg><arg><var>x42</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x40</var></arg><arg><var>x41</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><var>x92</var></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x92</var></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x92</var></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x43</var></arg><arg><var>x42</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x93</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x93</var></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x93</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x43</var></arg><arg><var>x42</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x93</var></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x93</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x43</var></arg><arg><var>x42</var></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>ge</name><arg><funapp><name>s</name><arg><var>x95</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x94</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp><var>x42</var><var>x43</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x96</var><conditionalConstraint><all><var>x97</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x95</var></arg><arg><var>x94</var></arg><arg><var>x96</var></arg><arg><var>x97</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x95</var></arg><arg><var>x94</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x96</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x97</var></arg></funapp></arg></funapp></arg><arg><var>x96</var></arg><arg><var>x97</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x96</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x97</var></arg></funapp></arg></funapp></arg><arg><var>x97</var></arg><arg><var>x96</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x95</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x94</var></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><funapp><name>s</name><arg><var>x95</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x94</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x43</var></arg><arg><var>x42</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><all><var>x96</var><conditionalConstraint><all><var>x97</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>ge</name><arg><var>x95</var></arg><arg><var>x94</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x95</var></arg><arg><var>x94</var></arg><arg><var>x96</var></arg><arg><var>x97</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x95</var></arg><arg><var>x94</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x96</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x97</var></arg></funapp></arg></funapp></arg><arg><var>x96</var></arg><arg><var>x97</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x96</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x97</var></arg></funapp></arg></funapp></arg><arg><var>x97</var></arg><arg><var>x96</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><substitution><substEntry><var>x96</var><var>x42</var></substEntry><substEntry><var>x97</var><var>x43</var></substEntry></substitution><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x95</var></arg><arg><var>x94</var></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><var>x95</var></arg><arg><var>x94</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x43</var></arg><arg><var>x42</var></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x95</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x94</var></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp><nonStrict/><funapp><sharp><name>helpb</name></sharp><arg><funapp><name>s</name><arg><var>x95</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x94</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x42</var></arg><arg><var>x43</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>x42</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>x43</var></arg></funapp></arg></funapp></arg><arg><var>x43</var></arg><arg><var>x42</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition></conditions></condRedPairProof><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>helpa</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>c</var></arg><arg><var>l</var></arg></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></arg><arg><funapp><name>helpc</name><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>helpb</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><funapp><name>cons</name><arg><var>y</var></arg><arg><var>ys</var></arg></funapp></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpa</name></sharp><arg><funapp><name>s</name><arg><var>c</var></arg></funapp></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>helpa</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>ge</name><arg><var>c</var></arg><arg><var>l</var></arg></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></generalRedPairProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></rewritingProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></rewritingProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>if</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>plus</name></sharp><arg><funapp><name>length</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>x</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>ys</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>ys</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>helpa</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>ge</name></sharp><arg><var>c</var></arg><arg><var>l</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>ge</name></sharp><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>ge</name></sharp><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>plus</name></sharp><arg><var>x</var></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>plus</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules/></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss/><dpProof><sizeChangeProc><subtermCriterion/><sizeChangeGraph><rule><lhs><funapp><sharp><name>plus</name></sharp><arg><var>x</var></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>plus</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><edge><position>1</position><strict>false</strict><position>1</position></edge><edge><position>2</position><strict>true</strict><position>2</position></edge></sizeChangeGraph></sizeChangeProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>length</name></sharp><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules/></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss/><dpProof><sizeChangeProc><subtermCriterion/><sizeChangeGraph><rule><lhs><funapp><sharp><name>length</name></sharp><arg><funapp><name>cons</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><var>y</var></arg></funapp></rhs></rule><edge><position>1</position><strict>true</strict><position>1</position></edge></sizeChangeGraph></sizeChangeProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>ge</name></sharp><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><sharp><name>ge</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules/></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss/><dpProof><sizeChangeProc><subtermCriterion/><sizeChangeGraph><rule><lhs><funapp><sharp><name>ge</name></sharp><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><sharp><name>ge</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><edge><position>1</position><strict>true</strict><position>1</position></edge><edge><position>2</position><strict>true</strict><position>2</position></edge></sizeChangeGraph></sizeChangeProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>greater</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpc</name></sharp><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>smaller</name></sharp><arg><var>ys</var></arg><arg><var>zs</var></arg></funapp></lhs><rhs><funapp><sharp><name>helpc</name></sharp><arg><funapp><name>ge</name><arg><funapp><name>length</name><arg><var>ys</var></arg></funapp></arg><arg><funapp><name>length</name><arg><var>zs</var></arg></funapp></arg></funapp></arg><arg><var>zs</var></arg><arg><var>ys</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></dpTrans></trsTerminationProof></switchInnermost></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (23 real / 0 unknown / 0 assumptions / 23 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> popout

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