details

property	value
status	complete
benchmark	cade14.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	GTSSK07

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	4.06344 seconds
cpu usage	10.7399
user time	10.4163
system time	0.323595
max virtual memory	1.8616972E7
max residence set size	531080.0

stage attributes

key	value
certification-result	CERTIFIED
starexec-result	CERTIFIED YES
certification-time	3.38
bare-result	YES

output

<?xml version="1.0" encoding="UTF-8" standalone="no"?><?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?><certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><trsInput><trs><rules><rule><lhs><funapp><name>diff</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>cond1</name><arg><funapp><name>equal</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cond1</name><arg><funapp><name>true</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>cond1</name><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>cond2</name><arg><funapp><name>gt</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cond2</name><arg><funapp><name>true</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>diff</name><arg><var>x</var></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>cond2</name><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>diff</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>v</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>u</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>u</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>v</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>u</var></arg><arg><var>v</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><switchInnermost><wcrProof><joinableCriticalPairsBFS>10</joinableCriticalPairsBFS></wcrProof><trsTerminationProof><dpTrans><dps><rules><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>equal</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>gt</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>gt</name></sharp><arg><funapp><name>s</name><arg><var>u</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>v</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>gt</name></sharp><arg><var>u</var></arg><arg><var>v</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>equal</name></sharp><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>equal</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><markedSymbols>true</markedSymbols><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>v</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>u</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>u</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>v</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>u</var></arg><arg><var>v</var></arg></funapp></rhs></rule></rules></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x0</var></arg></funapp><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x1</var></arg></funapp></arg></funapp></innermostLhss><dpProof><generalRedPairProc><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>2</degree></polynomial></type><interpret><name>c</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>-1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>cond2</name></sharp><arity>3</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>-2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><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>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>-2</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>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><coefficient><integer>-1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>cond1</name></sharp><arity>3</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>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><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>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>-2</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>3</variable></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial><polynomial><coefficient><integer>-1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><sharp><name>diff</name></sharp><arity>2</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>-2</integer></coefficient></polynomial><polynomial><variable>1</variable></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><polynomial><coefficient><integer>-1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>false</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>gt</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>true</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>s</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><coefficient><integer>1</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>equal</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>0</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><strict><rules><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></strict><bound><rules><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></bound><condRedPairProof><name>c</name><before>2</before><after>0</after><conditions><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x22</var></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x22</var></arg><arg><var>x23</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><var>x22</var></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x22</var></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x24</var><rewrite/><var>x26</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x25</var><rewrite/><var>x27</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x26</var><var>x24</var><conditionalConstraint><implication><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x25</var><rewrite/><var>x27</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x24</var></arg><arg><var>x27</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x27</var><var>x25</var><conditionalConstraint><implication><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x22</var><var>x24</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x181</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x181</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x181</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x23</var><rewrite/><var>x181</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x181</var><var>x23</var><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><var>x23</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x182</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x184</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x184</var></arg></funapp><rewrite/><var>x182</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x182</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x23</var><rewrite/><var>x182</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x184</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x184</var></arg></funapp><rewrite/><var>x182</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x23</var><var>x182</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x184</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x184</var></arg></funapp><rewrite/><var>x182</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><substitution/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><var>x31</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x30</var></arg><arg><var>x31</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><var>x31</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><var>x31</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x31</var><rewrite/><var>x33</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x31</var><rewrite/><var>x33</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x32</var><rewrite/><var>x34</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x33</var><rewrite/><var>x35</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x34</var><var>x32</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x31</var><rewrite/><var>x33</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x33</var><rewrite/><var>x35</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x32</var></arg><arg><var>x35</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x35</var><var>x33</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x31</var><rewrite/><var>x33</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x31</var><var>x33</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x189</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x189</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x189</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x30</var><rewrite/><var>x189</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x189</var><var>x30</var><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><var>x30</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x192</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x193</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x193</var></arg></funapp><rewrite/><var>x192</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x192</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x30</var><rewrite/><var>x192</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x193</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x193</var></arg></funapp><rewrite/><var>x192</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x30</var><var>x192</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x193</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x193</var></arg></funapp><rewrite/><var>x192</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><substitution/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></arg><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></arg><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><var>x54</var></arg><arg><funapp><name>s</name><arg><var>x55</var></arg></funapp></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></arg><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x52</var><rewrite/><var>x54</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x53</var><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x54</var><var>x52</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x53</var><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x55</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x55</var><var>x53</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x198</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x204</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x204</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x205</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x205</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x205</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x198</var><rewrite/><var>x205</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x198</var><rewrite/><var>x205</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x205</var><var>x198</var><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x198</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x207</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><var>x198</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x207</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x206</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x208</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x208</var></arg></funapp><rewrite/><var>x207</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x206</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x207</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x207</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x198</var><rewrite/><var>x207</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x206</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x208</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x208</var></arg></funapp><rewrite/><var>x207</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x206</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x207</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x206</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x199</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x209</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x209</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x210</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x210</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x210</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x210</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x210</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x210</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x212</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x211</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp><var>x199</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x212</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x211</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x213</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x212</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x213</var></arg></funapp><rewrite/><var>x211</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x212</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x211</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x212</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x201</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x200</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><var>x52</var><var>x53</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x214</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x214</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x215</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x215</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x215</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x215</var></arg></funapp></constraint></conditionalConstr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/funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x102</var><var>x100</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x101</var><rewrite/><var>x103</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x100</var><rewrite/><var>x104</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x103</var></arg></funapp><rewrite/><var>x105</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x103</var><var>x101</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x100</var><rewrite/><var>x104</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x101</var></arg></funapp><rewrite/><var>x105</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x104</var><var>x100</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x101</var></arg></funapp><rewrite/><var>x105</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x100</var></arg><arg><var>x105</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x105</var><funapp><name>s</name><arg><var>x101</var></arg></funapp><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x100</var></arg><arg><funapp><name>s</name><arg><var>x101</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x222</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x222</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><substitution/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></arg><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x126</var></arg><arg><var>x127</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x126</var></arg></funapp></arg><arg><var>x127</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></arg><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x126</var></arg><arg><var>x127</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x126</var></arg></funapp></arg><arg><var>x127</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></arg><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></arg><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x126</var></arg><arg><var>x127</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x124</var><rewrite/><var>x126</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x127</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x126</var></arg></funapp></arg><arg><var>x127</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x126</var></arg></funapp></arg><arg><var>x127</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x124</var><rewrite/><var>x126</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x127</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x126</var></arg></funapp><rewrite/><var>x128</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x127</var><rewrite/><var>x129</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x126</var><var>x124</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x127</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x124</var></arg></funapp><rewrite/><var>x128</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x127</var><rewrite/><var>x129</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x127</var><var>x125</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x124</var></arg></funapp><rewrite/><var>x128</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x129</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x128</var><funapp><name>s</name><arg><var>x124</var></arg></funapp><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x129</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x124</var></arg></funapp></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x129</var><var>x125</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x124</var></arg></funapp></arg><arg><var>x125</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x226</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x226</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x226</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x227</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x227</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><substitution/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></arg><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></arg><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x144</var></arg></funapp></arg><arg><var>x145</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></arg><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x142</var><rewrite/><var>x144</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x143</var><rewrite/><var>x145</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x144</var><var>x142</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x143</var><rewrite/><var>x145</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x145</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x145</var><var>x143</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x230</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x236</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x236</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x236</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x236</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x236</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x237</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x237</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x238</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><var>x230</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x239</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x238</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x240</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x240</var></arg></funapp><rewrite/><var>x239</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x238</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x238</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x239</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x230</var><rewrite/><var>x239</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x238</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x240</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x240</var></arg></funapp><rewrite/><var>x239</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x238</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x238</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x238</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x231</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x241</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x241</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x241</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x241</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x241</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x241</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x241</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x241</var><funapp><name>s</name><arg><var>x231</var></arg></funapp><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x231</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x242</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x242</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x244</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x243</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp><var>x231</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x244</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x243</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x245</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x244</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x245</var></arg></funapp><rewrite/><var>x243</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x244</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x243</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x244</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x233</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x232</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><var>x142</var><var>x143</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x246</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><var>x246</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x246</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><var>x246</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x246</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x247</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x247</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><var>x233</var><var>x232</var><var>x234</var><var>x235</var></subtermVarEntry></subtermVarEntries><conditionalConstrai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x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><substitution><substEntry><var>x234</var><var>x249</var></substEntry><substEntry><var>x235</var><var>x248</var></substEntry></substitution><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x250</var><conditionalConstraint><all><var>x251</var><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x250</var></arg></funapp><rewrite/><var>x249</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x251</var></arg></funapp><rewrite/><var>x248</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x250</var><rewrite/><var>x252</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x251</var><rewrite/><var>x253</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp><nonStrict/><funapp><name>c</name></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x22</var></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x22</var></arg><arg><var>x23</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><var>x22</var></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x22</var></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x24</var><rewrite/><var>x26</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x25</var><rewrite/><var>x27</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></arg><arg><var>x26</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x26</var><var>x24</var><conditionalConstraint><implication><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x25</var><rewrite/><var>x27</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x24</var></arg><arg><var>x27</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x24</var></arg><arg><var>x27</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x27</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x27</var><var>x25</var><conditionalConstraint><implication><conditionalConstraint><constraint><var>x22</var><rewrite/><var>x24</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x22</var><var>x24</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></arg><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x24</var></arg><arg><var>x25</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><var>x25</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x180</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x181</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x181</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x181</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x23</var><rewrite/><var>x181</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x181</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x181</var><var>x23</var><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x23</var></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><var>x23</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x182</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x184</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x184</var></arg></funapp><rewrite/><var>x182</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp></arg><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x23</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x182</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x23</var><rewrite/><var>x182</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x184</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x184</var></arg></funapp><rewrite/><var>x182</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp></arg><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x23</var><var>x182</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x184</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x184</var></arg></funapp><rewrite/><var>x182</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp></arg><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x183</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x182</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x183</var></arg><arg><var>x182</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x185</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x186</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x188</var></arg><arg><var>x187</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><substitution/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x188</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x187</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><var>x31</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x30</var></arg><arg><var>x31</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><var>x31</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><var>x31</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x31</var><rewrite/><var>x33</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x31</var><rewrite/><var>x33</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x32</var><rewrite/><var>x34</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x33</var><rewrite/><var>x35</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></arg><arg><var>x34</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x34</var><var>x32</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x31</var><rewrite/><var>x33</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x33</var><rewrite/><var>x35</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x32</var></arg><arg><var>x35</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x32</var></arg><arg><var>x35</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x35</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x35</var><var>x33</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x31</var><rewrite/><var>x33</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x31</var><var>x33</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></arg><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x32</var></arg><arg><var>x33</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><var>x32</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x189</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x189</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x189</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x30</var><rewrite/><var>x189</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x189</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x189</var><var>x30</var><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x30</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x190</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><var>x30</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x192</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x193</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x193</var></arg></funapp><rewrite/><var>x192</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp></arg><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x30</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x192</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x30</var><rewrite/><var>x192</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x193</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x193</var></arg></funapp><rewrite/><var>x192</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp></arg><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x30</var><var>x192</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x193</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x193</var></arg></funapp><rewrite/><var>x192</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp></arg><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x192</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x191</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x192</var></arg><arg><var>x191</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x194</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x195</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x197</var></arg><arg><var>x196</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><substitution/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x197</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x196</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></arg><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x54</var></arg><arg><funapp><name>s</name><arg><var>x55</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></arg><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><var>x54</var></arg><arg><funapp><name>s</name><arg><var>x55</var></arg></funapp></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp></arg><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x54</var></arg><arg><funapp><name>s</name><arg><var>x55</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x52</var><rewrite/><var>x54</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x53</var><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x54</var></arg><arg><var>x55</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x54</var></arg><arg><funapp><name>s</name><arg><var>x55</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x54</var><var>x52</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x53</var><rewrite/><var>x55</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x55</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x52</var></arg><arg><funapp><name>s</name><arg><var>x55</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x55</var><var>x53</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x52</var></arg><arg><funapp><name>s</name><arg><var>x53</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x50</var></arg><arg><var>x51</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><var>x50</var><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x51</var><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x52</var></arg><arg><funapp><name>s</name><arg><var>x53</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x198</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x52</var></arg><arg><funapp><name>s</name><arg><var>x53</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x52</var></arg><arg><funapp><name>s</name><arg><var>x53</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x204</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x204</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x204</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x205</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x205</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x205</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x198</var><rewrite/><var>x205</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><var>x198</var><rewrite/><var>x205</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x205</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x205</var><var>x198</var><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x198</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x198</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x207</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><var>x198</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x207</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x206</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x208</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x208</var></arg></funapp><rewrite/><var>x207</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x206</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x207</var></arg><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x207</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x207</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x198</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x207</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x198</var><rewrite/><var>x207</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x206</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x208</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x208</var></arg></funapp><rewrite/><var>x207</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x206</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x207</var></arg><arg><var>x206</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x207</var></arg><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x207</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x207</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x206</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x206</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x199</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x52</var></arg><arg><funapp><name>s</name><arg><var>x53</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x52</var></arg><arg><funapp><name>s</name><arg><var>x53</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x209</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x209</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x209</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x210</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x210</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x210</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x210</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x210</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x210</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x210</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x210</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x212</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x211</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp><var>x199</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x212</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x199</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x211</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x213</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x212</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x213</var></arg></funapp><rewrite/><var>x211</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x212</var></arg><arg><var>x211</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x212</var></arg><arg><funapp><name>s</name><arg><var>x211</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x212</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x211</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x212</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x211</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x212</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x201</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x200</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><var>x52</var><var>x53</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x202</var></arg><arg><funapp><name>s</name><arg><var>x203</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x52</var></arg><arg><funapp><name>s</name><arg><var>x53</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x52</var></arg><arg><var>x53</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><var>x52</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><var>x53</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x202</var></arg><arg><funapp><name>s</name><arg><var>x203</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x214</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x214</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x214</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x215</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x215</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x202</var></arg><arg><funapp><name>s</name><arg><var>x203</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x215</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x215</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x215</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x202</var></arg><arg><funapp><name>s</name><arg><var>x203</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x215</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x215</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x215</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x215</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x202</var></arg><arg><funapp><name>s</name><arg><var>x203</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x215</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x215</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><var>x201</var><var>x200</var><var>x202</var><var>x203</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x217</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x216</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x202</var></arg><arg><funapp><name>s</name><arg><var>x203</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><all><var>x218</var><conditionalConstraint><all><var>x219</var><conditionalConstraint><all><var>x220</var><conditionalConstraint><all><var>x221</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x218</var></arg><arg><var>x219</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x218</var></arg></funapp><rewrite/><var>x217</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x219</var></arg></funapp><rewrite/><var>x216</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x220</var><conditionalConstraint><all><var>x221</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x218</var></arg><arg><var>x219</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x218</var><rewrite/><var>x220</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x219</var><rewrite/><var>x221</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x220</var></arg><arg><var>x221</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x220</var></arg><arg><var>x221</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x220</var></arg><arg><funapp><name>s</name><arg><var>x221</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x217</var></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x201</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x217</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x217</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x216</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x202</var></arg><arg><funapp><name>s</name><arg><var>x203</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><all><var>x218</var><conditionalConstraint><all><var>x219</var><conditionalConstraint><all><var>x220</var><conditionalConstraint><all><var>x221</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x218</var></arg><arg><var>x219</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x218</var></arg></funapp><rewrite/><var>x217</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x219</var></arg></funapp><rewrite/><var>x216</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x220</var><conditionalConstraint><all><var>x221</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x218</var></arg><arg><var>x219</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x218</var><rewrite/><var>x220</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x219</var><rewrite/><var>x221</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x220</var></arg><arg><var>x221</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x220</var></arg><arg><var>x221</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x220</var></arg><arg><funapp><name>s</name><arg><var>x221</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x217</var></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x216</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x217</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x216</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x202</var></arg><arg><funapp><name>s</name><arg><var>x203</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><all><var>x218</var><conditionalConstraint><all><var>x219</var><conditionalConstraint><all><var>x220</var><conditionalConstraint><all><var>x221</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x218</var></arg><arg><var>x219</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x218</var></arg></funapp><rewrite/><var>x217</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x219</var></arg></funapp><rewrite/><var>x216</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x220</var><conditionalConstraint><all><var>x221</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x218</var></arg><arg><var>x219</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x218</var><rewrite/><var>x220</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x219</var><rewrite/><var>x221</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x220</var></arg><arg><var>x221</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x220</var></arg><arg><var>x221</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x220</var></arg><arg><funapp><name>s</name><arg><var>x221</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x217</var></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><all><var>x202</var><conditionalConstraint><all><var>x203</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x201</var></arg><arg><var>x200</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x201</var><rewrite/><var>x202</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x200</var><rewrite/><var>x203</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x202</var></arg><arg><var>x203</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x202</var></arg><arg><funapp><name>s</name><arg><var>x203</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><substitution><substEntry><var>x202</var><var>x217</var></substEntry><substEntry><var>x203</var><var>x216</var></substEntry></substitution><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x217</var></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x218</var><conditionalConstraint><all><var>x219</var><conditionalConstraint><all><var>x220</var><conditionalConstraint><all><var>x221</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x218</var></arg><arg><var>x219</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x218</var></arg></funapp><rewrite/><var>x217</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x219</var></arg></funapp><rewrite/><var>x216</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x220</var><conditionalConstraint><all><var>x221</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x218</var></arg><arg><var>x219</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x218</var><rewrite/><var>x220</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x219</var><rewrite/><var>x221</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x220</var></arg><arg><var>x221</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x220</var></arg><arg><var>x221</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x220</var></arg><arg><funapp><name>s</name><arg><var>x221</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x217</var></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x217</var></arg><arg><var>x216</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><var>x217</var></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x217</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x216</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp></arg><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x102</var></arg><arg><var>x103</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x102</var></arg><arg><funapp><name>s</name><arg><var>x103</var></arg></funapp></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></arg><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp></arg><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x102</var></arg><arg><var>x103</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><var>x102</var></arg><arg><funapp><name>s</name><arg><var>x103</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></arg><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp></arg><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>true</name></funapp></arg><arg><var>x102</var></arg><arg><var>x103</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x100</var><rewrite/><var>x102</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x101</var><rewrite/><var>x103</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x102</var></arg><arg><funapp><name>s</name><arg><var>x103</var></arg></funapp></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></arg><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x102</var></arg><arg><funapp><name>s</name><arg><var>x103</var></arg></funapp></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x100</var><rewrite/><var>x102</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x101</var><rewrite/><var>x103</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x102</var><rewrite/><var>x104</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x103</var></arg></funapp><rewrite/><var>x105</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></arg><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x102</var><var>x100</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x101</var><rewrite/><var>x103</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x100</var><rewrite/><var>x104</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x103</var></arg></funapp><rewrite/><var>x105</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></arg><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x103</var><var>x101</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x100</var><rewrite/><var>x104</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x101</var></arg></funapp><rewrite/><var>x105</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></arg><arg><var>x104</var></arg><arg><var>x105</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x104</var><var>x100</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x101</var></arg></funapp><rewrite/><var>x105</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x100</var></arg><arg><var>x105</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x100</var></arg><arg><var>x105</var></arg></funapp></arg><arg><var>x100</var></arg><arg><var>x105</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x105</var><funapp><name>s</name><arg><var>x101</var></arg></funapp><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x100</var></arg><arg><funapp><name>s</name><arg><var>x101</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x100</var></arg><arg><funapp><name>s</name><arg><var>x101</var></arg></funapp></arg></funapp></arg><arg><var>x100</var></arg><arg><funapp><name>s</name><arg><var>x101</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x100</var></arg><arg><var>x101</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x222</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x222</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x222</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x222</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x223</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x225</var></arg><arg><var>x224</var></arg></funapp><rewrite/><funapp><name>true</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><substitution/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg><arg><var>x225</var></arg><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x225</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x224</var></arg></funapp></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></arg><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x126</var></arg><arg><var>x127</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x126</var></arg></funapp></arg><arg><var>x127</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></arg><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></arg><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x126</var></arg><arg><var>x127</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x126</var></arg></funapp></arg><arg><var>x127</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></arg><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp></arg><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x126</var></arg><arg><var>x127</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x124</var><rewrite/><var>x126</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x127</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x126</var></arg></funapp></arg><arg><var>x127</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></arg><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x126</var></arg></funapp></arg><arg><var>x127</var></arg></funapp><rewrite/><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x124</var><rewrite/><var>x126</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x127</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x126</var></arg></funapp><rewrite/><var>x128</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x127</var><rewrite/><var>x129</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></arg><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x126</var><var>x124</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x127</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x124</var></arg></funapp><rewrite/><var>x128</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x127</var><rewrite/><var>x129</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></arg><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x127</var><var>x125</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x124</var></arg></funapp><rewrite/><var>x128</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x129</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></arg><arg><var>x128</var></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x128</var><funapp><name>s</name><arg><var>x124</var></arg></funapp><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x125</var><rewrite/><var>x129</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x124</var></arg></funapp></arg><arg><var>x129</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x124</var></arg></funapp></arg><arg><var>x129</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x124</var></arg></funapp></arg><arg><var>x129</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x129</var><var>x125</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x124</var></arg></funapp></arg><arg><var>x125</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x124</var></arg></funapp></arg><arg><var>x125</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x124</var></arg></funapp></arg><arg><var>x125</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x124</var></arg><arg><var>x125</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts/><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x226</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x226</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x226</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x226</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x226</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x226</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x226</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x227</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x227</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x227</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x227</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x229</var></arg><arg><var>x228</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><substitution/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg><arg><var>x228</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp><nonStrict/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x229</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x228</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition><condition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></arg><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x144</var></arg></funapp></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><dpSequence><rules><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></arg><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp></lhs><rhs><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x144</var></arg></funapp></arg><arg><var>x145</var></arg></funapp></rhs></rule></rules></dpSequence><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp></arg><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x144</var></arg></funapp></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x142</var><rewrite/><var>x144</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x143</var><rewrite/><var>x145</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x144</var></arg><arg><var>x145</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x144</var></arg></funapp></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x144</var><var>x142</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x143</var><rewrite/><var>x145</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x145</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x142</var></arg></funapp></arg><arg><var>x145</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x145</var><var>x143</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x142</var></arg></funapp></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x140</var></arg><arg><var>x141</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><var>x140</var><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x141</var><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x142</var></arg></funapp></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x230</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x142</var></arg></funapp></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x142</var></arg></funapp></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x236</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x236</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x236</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x236</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x236</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x236</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x236</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x237</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x237</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x237</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x238</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><var>x230</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x239</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x238</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x240</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x240</var></arg></funapp><rewrite/><var>x239</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x238</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg><arg><var>x238</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x238</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x238</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x230</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x239</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x230</var><rewrite/><var>x239</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x238</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x240</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x240</var></arg></funapp><rewrite/><var>x239</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x238</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x239</var></arg><arg><var>x238</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg><arg><var>x238</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x238</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x239</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x238</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x238</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x231</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x142</var></arg></funapp></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x142</var></arg></funapp></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x241</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x241</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x241</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x241</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x241</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x241</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x241</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><var>x241</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x241</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x241</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><variableEquation><var>x241</var><funapp><name>s</name><arg><var>x231</var></arg></funapp><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>s</name><arg><var>x231</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x231</var></arg></funapp></arg></funapp></constraint></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x242</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x242</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x242</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x244</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x243</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp><var>x231</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x244</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x231</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x243</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x245</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><var>x244</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x245</var></arg></funapp><rewrite/><var>x243</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x244</var></arg><arg><var>x243</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x244</var></arg></funapp></arg><arg><var>x243</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x244</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x243</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x244</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x243</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>0</name></funapp><rewrite/><funapp><name>s</name><arg><var>x244</var></arg></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>equal</name><arg><funapp><name>s</name><arg><var>x233</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x232</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><var>x142</var><var>x143</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x234</var></arg></funapp></arg><arg><var>x235</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x142</var></arg></funapp></arg><arg><var>x143</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><induction><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x142</var></arg><arg><var>x143</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conjuncts><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><var>x142</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><var>x143</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x234</var></arg></funapp></arg><arg><var>x235</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></conjuncts><ruleConstraintProofs><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>0</name></funapp></arg><arg><var>x246</var></arg></funapp></lhs><rhs><funapp><name>false</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><var>x246</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x234</var></arg></funapp></arg><arg><var>x235</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x246</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x246</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>false</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><var>x246</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x234</var></arg></funapp></arg><arg><var>x235</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>0</name></funapp></arg><arg><var>x246</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><var>x246</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><funapp><name>0</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x247</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>true</name></funapp></rhs></rule><subtermVarEntries/><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x247</var></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x247</var></arg></funapp></arg></funapp></arg><arg><funapp><name>0</name></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><differentConstructor><conditionalConstraint><constraint><funapp><name>true</name></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint></differentConstructor></conditionalConstraintProof></ruleConstraintProof><ruleConstraintProof><rule><lhs><funapp><name>gt</name><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp></rhs></rule><subtermVarEntries><subtermVarEntry><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><var>x233</var><var>x232</var><var>x234</var><var>x235</var></subtermVarEntry></subtermVarEntries><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x249</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x248</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x234</var></arg></funapp></arg><arg><var>x235</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><all><var>x250</var><conditionalConstraint><all><var>x251</var><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x250</var></arg></funapp><rewrite/><var>x249</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x251</var></arg></funapp><rewrite/><var>x248</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x250</var><rewrite/><var>x252</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x251</var><rewrite/><var>x253</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x252</var></arg></funapp></arg><arg><var>x253</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><var>x248</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x233</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x249</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x249</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x248</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x234</var></arg></funapp></arg><arg><var>x235</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><all><var>x250</var><conditionalConstraint><all><var>x251</var><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x250</var></arg></funapp><rewrite/><var>x249</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x251</var></arg></funapp><rewrite/><var>x248</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x250</var><rewrite/><var>x252</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x251</var><rewrite/><var>x253</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x252</var></arg></funapp></arg><arg><var>x253</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><var>x248</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><sameConstructor><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>s</name><arg><var>x248</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x249</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x248</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x234</var></arg></funapp></arg><arg><var>x235</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><all><var>x250</var><conditionalConstraint><all><var>x251</var><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x250</var></arg></funapp><rewrite/><var>x249</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x251</var></arg></funapp><rewrite/><var>x248</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x250</var><rewrite/><var>x252</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x251</var><rewrite/><var>x253</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x252</var></arg></funapp></arg><arg><var>x253</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><var>x248</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><simplifyCondition><conditionalConstraint><all><var>x234</var><conditionalConstraint><all><var>x235</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x233</var></arg><arg><var>x232</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x233</var><rewrite/><var>x234</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x232</var><rewrite/><var>x235</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x234</var></arg><arg><var>x235</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x234</var></arg></funapp></arg><arg><var>x235</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><substitution><substEntry><var>x234</var><var>x249</var></substEntry><substEntry><var>x235</var><var>x248</var></substEntry></substitution><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><var>x248</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><all><var>x250</var><conditionalConstraint><all><var>x251</var><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x250</var></arg></funapp><rewrite/><var>x249</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>s</name><arg><var>x251</var></arg></funapp><rewrite/><var>x248</var></constraint></conditionalConstraint><conditionalConstraint><all><var>x252</var><conditionalConstraint><all><var>x253</var><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><name>equal</name><arg><var>x250</var></arg><arg><var>x251</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x250</var><rewrite/><var>x252</var></constraint></conditionalConstraint><conditionalConstraint><constraint><var>x251</var><rewrite/><var>x253</var></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><name>gt</name><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><rewrite/><funapp><name>false</name></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x252</var></arg><arg><var>x253</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x252</var></arg></funapp></arg><arg><var>x253</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><var>x248</var></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint></all></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><deleteCondition><conditionalConstraint><implication><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x249</var></arg><arg><var>x248</var></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><var>x248</var></arg></funapp></constraint></conditionalConstraint><conditionalConstraint><constraint><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp><strict/><funapp><sharp><name>diff</name></sharp><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x249</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><var>x248</var></arg></funapp></arg></funapp></constraint></conditionalConstraint></implication></conditionalConstraint><conditionalConstraintProof><final/></conditionalConstraintProof></deleteCondition></conditionalConstraintProof></simplifyCondition></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></ruleConstraintProof></ruleConstraintProofs></induction></conditionalConstraintProof></variableEquation></conditionalConstraintProof></variableEquation></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></sameConstructor></conditionalConstraintProof></condition></conditions></condRedPairProof><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>equal</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>cond2</name></sharp><arg><funapp><name>gt</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></generalRedPairProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>cond1</name></sharp><arg><funapp><name>false</name></funapp></arg><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>gt</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>diff</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><funapp><sharp><name>equal</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>gt</name></sharp><arg><funapp><name>s</name><arg><var>u</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>v</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>gt</name></sharp><arg><var>u</var></arg><arg><var>v</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules/></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss/><dpProof><sizeChangeProc><subtermCriterion/><sizeChangeGraph><rule><lhs><funapp><sharp><name>gt</name></sharp><arg><funapp><name>s</name><arg><var>u</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>v</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>gt</name></sharp><arg><var>u</var></arg><arg><var>v</var></arg></funapp></rhs></rule><edge><position>1</position><strict>true</strict><position>1</position></edge><edge><position>2</position><strict>true</strict><position>2</position></edge></sizeChangeGraph></sizeChangeProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>equal</name></sharp><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>equal</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules/></usableRules><dpProof><innermostLhssRemovalProc><innermostLhss/><dpProof><sizeChangeProc><subtermCriterion/><sizeChangeGraph><rule><lhs><funapp><sharp><name>equal</name></sharp><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><var>y</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>equal</name></sharp><arg><var>x</var></arg><arg><var>y</var></arg></funapp></rhs></rule><edge><position>1</position><strict>true</strict><position>1</position></edge><edge><position>2</position><strict>true</strict><position>2</position></edge></sizeChangeGraph></sizeChangeProc></dpProof></innermostLhssRemovalProc></dpProof></usableRulesProc></dpProof></component></depGraphProc></dpProof></dpTrans></trsTerminationProof></switchInnermost></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (13 real / 0 unknown / 0 assumptions / 13 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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all output return to TRS Standard Certified