/export/starexec/sandbox/solver/bin/starexec_run_certified /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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<?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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>U41</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatIList</name></sharp><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatIList</name></sharp><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatIList</name></sharp><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatIList</name></sharp><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U41</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U61</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>length</name></sharp><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U72</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U71</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U71</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U71</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>take</name></sharp><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U91</name></sharp><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U91</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>U92</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U92</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>U93</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U93</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U93</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>M</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U93</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>IL</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U92</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U92</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U92</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>IL</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U92</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>M</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U91</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U91</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>M</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U91</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>IL</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U91</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>take</name></sharp><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatIList</name></sharp><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>take</name></sharp><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>IL</var></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatIList</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nil</name></funapp></lhs><rhs><funapp><name>n__nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>take</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatIList</name></sharp><arg><var>IL</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatIList</name></sharp><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>length</name></sharp><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U71</name></sharp><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U71</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>U72</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U72</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>length</name></sharp><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>activate</name></sharp><arg><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U61</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatIList</name></sharp><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatIList</name></sharp><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U41</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U41</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatIList</name></sharp><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNat</name></sharp><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>activate</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>take</name></sharp><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U91</name></sharp><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U91</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>U92</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U92</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><sharp><name>U93</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>take</name></sharp><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatIList</name></sharp><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatIList</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nil</name></funapp></lhs><rhs><funapp><name>n__nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg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e><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__take</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__length</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__zeros</name></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>zeros</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__take</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__length</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__nil</name></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>nil</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__zeros</name></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>zeros</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__take</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__take</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__length</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__length</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__nil</name></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>nil</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatIList</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nil</name></funapp></lhs><rhs><funapp><name>n__nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><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</rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__length</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__nil</name></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>nil</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__zeros</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatIList</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nil</name></funapp></lhs><rhs><funapp><name>n__nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp>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g></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__nil</name></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>nil</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__zeros</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatIList</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nil</name></funapp></lhs><rhs><funapp><name>n__nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><narrowingProc><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>nil</name></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__nil</name></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__take</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__take</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__length</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__length</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__nil</name></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>nil</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__zeros</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatIList</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></ru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g></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__zeros</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp>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></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__zeros</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg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rg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><positionInTerm><position>1</position></positionInTerm><narrowings><rules><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__zeros</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule></rules></narrowings><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__take</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__take</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__length</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__length</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__s</name><arg><var>x0</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</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><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatIList</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nil</name></funapp></lhs><rhs><funapp><name>n__nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__take</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>x1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule>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ame>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatIList</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nil</name></funapp></lhs><rhs><funapp><name>n__nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><dpRuleRemoval><dps><rules><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>x1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>x0</var></arg></funapp></arg><arg><var>x1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>x0</var></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><var>x0</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><var>y0</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y0</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule></rules></dps><trs><rules><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U31</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U42</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U52</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U61</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>U62</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U62</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U71</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U72</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U72</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U81</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U91</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U92</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>U93</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U93</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>n__take</name><arg><funapp><name>activate</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>V</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatIList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name><arg><funapp><name>n__take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><funapp><name>isNat</name><arg><funapp><name>activate</name><arg><var>V1</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><funapp><name>isNatList</name><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>L</var></arg></funapp></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatIList</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><funapp><name>s</name><arg><var>M</var></arg></funapp></arg><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>IL</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatIList</name><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>IL</var></arg></funapp></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>n__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>0</name></funapp></lhs><rhs><funapp><name>n__0</name></funapp></rhs></rule><rule><lhs><funapp><name>length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>s</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>n__s</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>nil</name></funapp></lhs><rhs><funapp><name>n__nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>take</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>length</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>activate</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>activate</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><funapp><name>n__nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule></rules></trs><dpNonterminationProof><loop><rewriteSequence><startTerm><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></startTerm><rewriteStep><positionInTerm><position>2</position></positionInTerm><rule><lhs><funapp><name>activate</name><arg><var>X</var></arg></funapp></lhs><rhs><var>X</var></rhs></rule><relative/><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rewriteStep><rewriteStep><positionInTerm><position>1</position></positionInTerm><rule><lhs><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><relative/><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></rewriteStep><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rhs></rule><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><funapp><name>n__0</name></funapp></arg><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rewriteStep><rewriteStep><positionInTerm/><rule><lhs><funapp><sharp><name>isNatList</name></sharp><arg><funapp><name>n__cons</name><arg><var>x0</var></arg><arg><var>y1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><var>x0</var></arg></funapp></arg><arg><funapp><name>activate</name><arg><var>y1</var></arg></funapp></arg></funapp></rhs></rule><funapp><sharp><name>U51</name></sharp><arg><funapp><name>isNat</name><arg><funapp><name>n__0</name></funapp></arg></funapp></arg><arg><funapp><name>activate</name><arg><funapp><name>n__zeros</name></funapp></arg></funapp></arg></funapp></rewriteStep></rewriteSequence><substitution/><box/></loop></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></narrowingProc></dpNonterminationProof></narrowingProc></dpNonterminationProof></narrowingProc></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpRuleRemoval></dpNonterminationProof></dpTrans></trsNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished
</version><strategy>Statistics for single proof: 100.00 % (28 real / 0 unknown / 0 assumptions / 28 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>