details

property	value
status	complete
benchmark	Ex2_8_1ConstSubstFix.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n050.star.cs.uiowa.edu
space	Applicative_05

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	14.7503700256 seconds
cpu usage	36.516266639
max memory	4.264312832E9

stage attributes

key	value
certification-result	CERTIFIED
output-size	134949
starexec-result	NO
certification-time	0.3

output

/export/starexec/sandbox/solver/bin/starexec_run_certified /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO <?xml version="1.0" encoding="UTF-8" standalone="no"?><?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?><certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" 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arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>const2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>f</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>g</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>const2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule><rule><lhs><funapp><name>subst3</name><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>g</var></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>fix2</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule></rules></trs><dpNonterminationProof><rewritingProc><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>const2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>1</position></positionInTerm><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule></rules></usableRules><dpNonterminationProof><rewritingProc><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>1</position></positionInTerm><rule><lhs><funapp><name>subst3</name><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>g</var></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>app</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>subst3</name><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>g</var></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>fix2</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule></rules></usableRules><dpNonterminationProof><rewritingProc><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>1</position></positionInTerm><rule><lhs><funapp><name>fix2</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>app</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>subst3</name><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>g</var></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>fix2</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule></rules></usableRules><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>fix1</name><arg><funapp><name>const</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>const2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst1</name><arg><funapp><name>fix1</name><arg><funapp><name>subst</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>f</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>const2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>g</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule><rule><lhs><funapp><name>subst3</name><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>g</var></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>fix2</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule></rules></trs><dpNonterminationProof><rewritingProc><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>const2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>1</position></positionInTerm><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule></rules></usableRules><dpNonterminationProof><rewritingProc><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>1</position></positionInTerm><rule><lhs><funapp><name>subst3</name><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>g</var></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>app</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>subst3</name><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>g</var></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>fix2</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule></rules></usableRules><dpNonterminationProof><rewritingProc><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rewriteStep><positionInTerm><position>1</position></positionInTerm><rule><lhs><funapp><name>fix2</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rewriteStep><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><usableRules><rules><rule><lhs><funapp><name>app</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst3</name><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>subst3</name><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>g</var></arg><arg><var>x</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>fix2</name><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><name>app</name><arg><funapp><name>app</name><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>const2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>app</name><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><name>fix1</name><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>const2</name><arg><var>x</var></arg><arg><var>y</var></arg></funapp></lhs><rhs><var>x</var></rhs></rule></rules></usableRules><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><var>f</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>f</var></arg><arg><funapp><name>fix1</name><arg><var>f</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>g</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>g</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>f</var></arg><arg><var>g</var></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>g</var></arg><arg><var>x</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><var>x1</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>fix</name></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><instantiationProc><dps><rules><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><var>x0</var></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><var>x2</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><funapp><name>app</name><arg><var>y1</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>app</name><arg><var>x1</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>app</name><arg><funapp><name>app</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>fix</name></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix</name></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><funapp><name>fix</name></funapp></arg><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>fix</name></funapp></arg><arg><var>y_0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>const1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>y_2</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>y_1</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>fix1</name><arg><var>y_0</var></arg></funapp></arg><arg><var>y_1</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix</name></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>const1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst2</name><arg><var>y_1</var></arg><arg><var>y_2</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>const1</name><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>y_0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>fix1</name><arg><var>y_1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule></rules></dps><dpNonterminationProof><switchFullStrategyProc><wcrProof><joinableCriticalPairsBFS>0</joinableCriticalPairsBFS></wcrProof><dpNonterminationProof><loop><rewriteSequence><startTerm><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2'</var></arg></funapp></startTerm><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>subst1</name><arg><var>y_0'</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg><arg><var>x2''</var></arg></funapp></lhs><rhs><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>y_0'</var></arg></funapp></arg><arg><var>x1</var></arg><arg><var>x2''</var></arg></funapp></rhs></rule><funapp><sharp><name>subst3</name></sharp><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2'</var></arg></funapp></rewriteStep><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>subst3</name></sharp><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0'</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0'</var></arg></funapp></arg></funapp></arg><arg><var>x2</var></arg></funapp></rhs></rule><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2'</var></arg></funapp></rewriteStep><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>y_0'</var></arg></funapp></arg></funapp></arg><arg><var>x1</var></arg></funapp></lhs><rhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>y_0'</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></rhs></rule><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg><arg><var>x2'</var></arg></funapp></rewriteStep><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>fix2</name></sharp><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></lhs><rhs><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><var>x0</var></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>y1</var></arg></funapp></rhs></rule><funapp><sharp><name>app</name></sharp><arg><funapp><name>subst2</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg><arg><funapp><name>fix1</name><arg><funapp><name>subst1</name><arg><funapp><name>subst1</name><arg><var>y_0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>x2'</var></arg></funapp></rewriteStep></rewriteSequence><substitution/><box/></loop></dpNonterminationProof></switchFullStrategyProc></dpNonterminationProof></instantiationProc></dpNonterminationProof></instantiationProc></dpNonterminationProof></instantiationProc></dpNonterminationProof></instantiationProc></dpNonterminationProof></instantiationProc></dpNonterminationProof></instantiationProc></dpNonterminationProof></rewritingProc></dpNonterminationProof></rewritingProc></dpNonterminationProof></rewritingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></rewritingProc></dpNonterminationProof></rewritingProc></dpNonterminationProof></rewritingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpTrans></trsNonterminationProof></innermostLhssIncrease></trsNonterminationProof></uncurry></trsNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (22 real / 0 unknown / 0 assumptions / 22 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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