details

property	value
status	complete
benchmark	duplicates.raml.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n055.star.cs.uiowa.edu
space	raML

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	27.0463459492 seconds
cpu usage	103.595702359
max memory	6.520676352E9

stage attributes

key	value
certification-result	CERTIFIED
output-size	562943
starexec-result	WORST_CASE(?,O(n^2))
certification-time	0.4

output

/export/starexec/sandbox/solver/bin/starexec_run_certified /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^2)) <?xml version="1.0" encoding="UTF-8" standalone="no"?><?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?><certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><complexityInput><trsInput><trs><rules><rule><lhs><funapp><name>#equal</name><arg><var>@x</var></arg><arg><var>@y</var></arg></funapp></lhs><rhs><funapp><name>#eq</name><arg><var>@x</var></arg><arg><var>@y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>and</name><arg><var>@x</var></arg><arg><var>@y</var></arg></funapp></lhs><rhs><funapp><name>#and</name><arg><var>@x</var></arg><arg><var>@y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq</name><arg><var>@l1</var></arg><arg><var>@l2</var></arg></funapp></lhs><rhs><funapp><name>eq#1</name><arg><var>@l1</var></arg><arg><var>@l2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#1</name><arg><funapp><name>::</name><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></arg><arg><var>@l2</var></arg></funapp></lhs><rhs><funapp><name>eq#3</name><arg><var>@l2</var></arg><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>@l2</var></arg></funapp></lhs><rhs><funapp><name>eq#2</name><arg><var>@l2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#2</name><arg><funapp><name>::</name><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>eq#2</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>#true</name></funapp></rhs></rule><rule><lhs><funapp><name>eq#3</name><arg><funapp><name>::</name><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></arg><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></lhs><rhs><funapp><name>and</name><arg><funapp><name>#equal</name><arg><var>@x</var></arg><arg><var>@y</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>@xs</var></arg><arg><var>@ys</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#3</name><arg><funapp><name>nil</name></funapp></arg><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>nub</name><arg><var>@l</var></arg></funapp></lhs><rhs><funapp><name>nub#1</name><arg><var>@l</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nub#1</name><arg><funapp><name>::</name><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>@x</var></arg><arg><funapp><name>nub</name><arg><funapp><name>remove</name><arg><var>@x</var></arg><arg><var>@xs</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>nub#1</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>@x</var></arg><arg><var>@l</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>@l</var></arg><arg><var>@x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></arg><arg><var>@x</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>@x</var></arg><arg><var>@y</var></arg></funapp></arg><arg><var>@x</var></arg><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>@x</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>@x</var></arg><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>@y</var></arg><arg><funapp><name>remove</name><arg><var>@x</var></arg><arg><var>@ys</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>@x</var></arg><arg><var>@y</var></arg><arg><var>@ys</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>@x</var></arg><arg><var>@ys</var></arg></funapp></rhs></rule></rules></trs><strategy><innermost/></strategy><relativeRules><rules><rule><lhs><funapp><name>#and</name><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp><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></sharp><arg><funapp><name>nil</name></funapp></arg></funapp><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></innermostLhss><complexityProof><usableRules><nonUsableRules><rules><rule><lhs><funapp><name>nub</name><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nub#1</name><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nub#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z0</var></arg><arg><funapp><name>nub</name><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>nub#1</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></nonUsableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>3</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></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><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></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><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#3</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>and</name><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>and</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>#and</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>#true</name></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>eq#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>eq#3</name><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>eq#2</name><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#3</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>eq#2</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>#true</name></funapp></rhs></rule><rule><lhs><funapp><name>eq</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>eq#1</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#2</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></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><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#3</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>and</name><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>and</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>#and</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>#true</name></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>eq#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>eq#3</name><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>eq#2</name><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#3</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>eq#2</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>#true</name></funapp></rhs></rule><rule><lhs><funapp><name>eq</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>eq#1</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>eq#2</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule><rule><lhs><funapp><name>#and</name><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>#false</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><ruleShifting><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c1</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c2</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c3</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c4</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c5</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c6</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c7</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c8</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c9</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c10</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c11</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c12</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c13</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c14</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c15</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c16</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c17</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c18</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c19</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c20</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c21</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c22</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c23</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c24</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c25</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c26</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c27</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></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></sum></polynomial></interpret><interpret><name>c28</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c29</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c30</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c31</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c32</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c33</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c34</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c35</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>c36</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#equal</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#3</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>and</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>eq#2</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#1</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>remove#2</name><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>#equal</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>and</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#2</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>eq#3</name></sharp><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>nub#1</name></sharp><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#1</name></sharp><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>remove#2</name></sharp><arity>4</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>::</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial><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></sum></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#false</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#true</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#0</name><arity>0</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#neg</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#pos</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>#s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>0</integer></coefficient></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule></rules></trs><usableRules><rules><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c1</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#false</name></funapp></arg></funapp></lhs><rhs><funapp><name>c2</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><funapp><name>#true</name></funapp></arg></funapp></lhs><rhs><funapp><name>c3</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c4</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c5</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c6</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#0</name></funapp></arg><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c7</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c8</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c9</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#neg</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c10</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c11</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#neg</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c12</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#pos</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#pos</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c13</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#0</name></funapp></arg></funapp></lhs><rhs><funapp><name>c14</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>#s</name><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>#s</name><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c15</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>::</name><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c16</name><arg><funapp><sharp><name>#and</name></sharp><arg><funapp><name>#eq</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><name>#eq</name><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z1</var></arg><arg><var>z3</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c17</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c18</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#eq</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c19</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>#equal</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c20</name><arg><funapp><sharp><name>#eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c21</name><arg><funapp><sharp><name>#and</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c22</name><arg><funapp><sharp><name>eq#1</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c23</name><arg><funapp><sharp><name>eq#3</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c24</name><arg><funapp><sharp><name>eq#2</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c25</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#2</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c26</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z3</var></arg></funapp></lhs><rhs><funapp><name>c27</name><arg><funapp><sharp><name>and</name></sharp><arg><funapp><name>#equal</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><name>eq</name><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>#equal</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z3</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>eq#3</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c28</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub</name></sharp><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c29</name><arg><funapp><sharp><name>nub#1</name></sharp><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>c30</name><arg><funapp><sharp><name>nub</name></sharp><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></arg><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>nub#1</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>c31</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>c32</name><arg><funapp><sharp><name>remove#1</name></sharp><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c33</name><arg><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><funapp><sharp><name>eq</name></sharp><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#1</name></sharp><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>c34</name></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c35</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>remove#2</name></sharp><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>c36</name><arg><funapp><sharp><name>remove</name></sharp><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#false</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>::</name><arg><var>z1</var></arg><arg><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#2</name><arg><funapp><name>#true</name></funapp></arg><arg><var>z0</var></arg><arg><var>z1</var></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>::</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></arg><arg><var>z2</var></arg></funapp></lhs><rhs><funapp><name>remove#2</name><arg><funapp><name>eq</name><arg><var>z2</var></arg><arg><var>z0</var></arg></funapp></arg><arg><var>z2</var></arg><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove</name><arg><var>z0</var></arg><arg><var>z1</var></arg></funapp></lhs><rhs><funapp><name>remove#1</name><arg><var>z1</var></arg><arg><var>z0</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>remove#1</name><arg><funapp><name>nil</name></funapp></arg><arg><var>z0</var></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule></rules></usableRules><complexityProof><rIsEmpty/></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></ruleShifting></complexityProof></usableRules></complexityProof></dtTransformation></complexityProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (18 real / 0 unknown / 0 assumptions / 18 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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