details

property	value
status	complete
benchmark	enger-nonloop-isDNat.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n173.star.cs.uiowa.edu
space	EEG_IJCAR_12

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	12.3613789082 seconds
cpu usage	34.532552471
max memory	3.996516352E9

stage attributes

key	value
certification-result	CERTIFIED
output-size	39880
starexec-result	NO
certification-time	0.1

output

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napp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr0</var><funapp><name>s</name><arg><var>zr0</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl0</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl0</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl0</var><funapp><name>s</name><arg><var>zl0</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><narrowing><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><instantiation><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl1</var><var>x0</var></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr1</var><var>x0</var></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl1</var><var>x0</var></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr0</var><var>x0</var></substEntry></substitution><substitution><substEntry><var>zr0</var><funapp><name>s</name><arg><var>zr0</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl0</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl0</var><var>x0</var></substEntry></substitution><substitution><substEntry><var>zl0</var><funapp><name>s</name><arg><var>zl0</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr0</var><var>x0</var></substEntry></substitution><substitution><substEntry><var>zr0</var><funapp><name>s</name><arg><var>zr0</var></arg></funapp></substEntry></substitution></patternTerm><instantiation><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl0</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl0</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zl0</var><funapp><name>s</name><arg><var>zl0</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><var>y0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zr0</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zr0</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zr0</var><funapp><name>s</name><arg><var>zr0</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zl0</var></arg></funapp></arg></funapp><substitution><substEntry><var>zl0</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zl0</var><funapp><name>s</name><arg><var>zl0</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><var>y0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><var>y0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><narrowing><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><instantiation><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp><substitution/><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution/><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><instantiation><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp><substitution/><substitution/></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp></arg></funapp></arg></funapp><substitution/><substitution/></patternTerm><instantiation><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp><substitution/><substitution/></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp><substitution/><substitution/></patternTerm><instantiation><patternRule><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x</var></arg></funapp><substitution/><substitution/></patternTerm><patternTerm><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp><substitution/><substitution/></patternTerm><originalRule><rule><lhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x</var></arg></funapp></lhs><rhs><funapp><sharp><name>f</name></sharp><arg><funapp><name>isNat</name><arg><var>x</var></arg></funapp></arg><arg><funapp><name>s</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><isPair>true</isPair></originalRule></patternRule><substitution><substEntry><var>x</var><var>x0</var></substEntry></substitution><base/></instantiation></patternRule><substitution><substEntry><var>x0</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution><base/></instantiation></patternRule><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution><pumping/></instantiation></patternRule><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><closing/></instantiation></patternRule><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>isNat</name><arg><var>y0</var></arg></funapp><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>isNat</name><arg><var>y0</var></arg></funapp><substitution/><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>zs1</var></arg></funapp></arg></funapp><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>isNat</name><arg><var>y0</var></arg></funapp><substitution/><substitution/></patternTerm><equivalence><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>zs0</var></arg></funapp></arg></funapp><substitution><substEntry><var>zs0</var><var>y0</var></substEntry></substitution><substitution><substEntry><var>zs0</var><funapp><name>s</name><arg><var>zs0</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>isNat</name><arg><var>y0</var></arg></funapp><substitution/><substitution/></patternTerm><instantiation><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>zs0</var></arg></funapp></arg></funapp><substitution><substEntry><var>zs0</var><var>x</var></substEntry></substitution><substitution><substEntry><var>zs0</var><funapp><name>s</name><arg><var>zs0</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>isNat</name><arg><var>x</var></arg></funapp><substitution/><substitution/></patternTerm><equivalence><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp><substitution/><substitution><substEntry><var>x</var><funapp><name>s</name><arg><var>x</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>isNat</name><arg><var>x</var></arg></funapp><substitution/><substitution/></patternTerm><initialPumping><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp><substitution/><substitution/></patternTerm><patternTerm><funapp><name>isNat</name><arg><var>x</var></arg></funapp><substitution/><substitution/></patternTerm><originalRule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>s</name><arg><var>x</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>isNat</name><arg><var>x</var></arg></funapp></rhs></rule><isPair>false</isPair></originalRule></patternRule><substitution><substEntry><var>x</var><funapp><name>s</name><arg><var>x</var></arg></funapp></substEntry></substitution><substitution/></initialPumping></patternRule><left/><patternEquivalence><domainRenaming><substitution><substEntry><var>x</var><var>zs0</var></substEntry></substitution></domainRenaming></patternEquivalence></equivalence></patternRule><substitution><substEntry><var>x</var><var>y0</var></substEntry></substitution><base/></instantiation></patternRule><left/><patternEquivalence><domainRenaming><substitution><substEntry><var>zs0</var><var>zs1</var></substEntry></substitution></domainRenaming></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><irrelevant><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution><substitution/></irrelevant></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><irrelevant><substitution><substEntry><var>zs1</var><funapp><name>s</name><arg><var>zs1</var></arg></funapp></substEntry></substitution><substitution><substEntry><var>zs1</var><var>y0</var></substEntry></substitution></irrelevant></patternEquivalence></equivalence></patternRule><positionInTerm><position>1</position></positionInTerm></narrowing></patternRule><left/><patternEquivalence><domainRenaming><substitution><substEntry><var>zs1</var><var>zl0</var></substEntry></substitution></domainRenaming></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><domainRenaming><substitution><substEntry><var>zs1</var><var>zr0</var></substEntry></substitution></domainRenaming></patternEquivalence></equivalence></patternRule><substitution><substEntry><var>y0</var><var>x0</var></substEntry></substitution><base/></instantiation></patternRule><left/><patternEquivalence><domainRenaming><substitution><substEntry><var>zl0</var><var>zl1</var></substEntry></substitution></domainRenaming></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><domainRenaming><substitution><substEntry><var>zr0</var><var>zr1</var></substEntry></substitution></domainRenaming></patternEquivalence></equivalence></patternRule><substitution><substEntry><var>x0</var><funapp><name>0</name></funapp></substEntry></substitution><base/></instantiation></patternRule><left/><patternEquivalence><irrelevant><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution></irrelevant></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><irrelevant><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution></irrelevant></patternEquivalence></equivalence></patternRule><left/><patternEquivalence><irrelevant><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution></irrelevant></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><irrelevant><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution></irrelevant></patternEquivalence></equivalence></patternRule><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>tt</name></funapp><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>tt</name></funapp><substitution/><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp><substitution/><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>tt</name></funapp><substitution/><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><equivalence><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp><substitution/><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution></patternTerm><patternTerm><funapp><name>tt</name></funapp><substitution/><substitution/></patternTerm><equivalence><patternRule><patternTerm><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp><substitution/><substitution/></patternTerm><patternTerm><funapp><name>tt</name></funapp><substitution/><substitution/></patternTerm><originalRule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><isPair>false</isPair></originalRule></patternRule><left/><patternEquivalence><irrelevant><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution><substitution/></irrelevant></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><irrelevant><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution><substitution/></irrelevant></patternEquivalence></equivalence></patternRule><left/><patternEquivalence><irrelevant><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution></irrelevant></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><irrelevant><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution></irrelevant></patternEquivalence></equivalence></patternRule><positionInTerm><position>1</position></positionInTerm></narrowing></patternRule><left/><patternEquivalence><irrelevant><substitution><substEntry><var>zl1</var><funapp><name>s</name><arg><var>zl1</var></arg></funapp></substEntry></substitution><substitution><substEntry><var>zl1</var><funapp><name>0</name></funapp></substEntry></substitution></irrelevant></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><irrelevant><substitution><substEntry><var>zr1</var><funapp><name>s</name><arg><var>zr1</var></arg></funapp></substEntry></substitution><substitution><substEntry><var>zr1</var><funapp><name>0</name></funapp></substEntry></substitution></irrelevant></patternEquivalence></equivalence></patternRule><left/><patternEquivalence><domainRenaming><substitution><substEntry><var>zl1</var><var>zl0</var></substEntry></substitution></domainRenaming></patternEquivalence></equivalence></patternRule><right/><patternEquivalence><domainRenaming><substitution><substEntry><var>zr1</var><var>zr0</var></substEntry></substitution></domainRenaming></patternEquivalence></equivalence></patternRule><left/><patternEquivalence><domainRenaming><substitution><substEntry><var>zl0</var><var>zr0</var></substEntry></substitution></domainRenaming></patternEquivalence></equivalence></patternRule><substitution/><substitution/><natural>1</natural><natural>2</natural><positionInTerm/></nonLoop></dpNonterminationProof></switchFullStrategyProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpTrans></trsNonterminationProof></innermostLhssIncrease></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 % (5 real / 0 unknown / 0 assumptions / 5 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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