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<funapp>
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<var>M</var>
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<var>N</var>
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<funapp>
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<var>N</var>
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<funapp>
<name>tt</name>
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<var>M</var>
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<arg>
<var>N</var>
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<funapp>
<name>U103</name>
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<funapp>
<name>isNat</name>
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<arg>
<var>M</var>
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<var>N</var>
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<rule>
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<name>U103</name>
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<funapp>
<name>tt</name>
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<arg>
<var>M</var>
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<arg>
<var>N</var>
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</funapp>
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<funapp>
<name>U104</name>
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<funapp>
<name>isNatKind</name>
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<var>N</var>
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<arg>
<var>M</var>
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<arg>
<var>N</var>
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</funapp>
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<rule>
<lhs>
<funapp>
<name>U104</name>
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<funapp>
<name>tt</name>
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<arg>
<var>M</var>
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<var>N</var>
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<funapp>
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<name>U11</name>
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<funapp>
<name>tt</name>
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<arg>
<var>V1</var>
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<arg>
<var>V2</var>
</arg>
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<funapp>
<name>U12</name>
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<funapp>
<name>isNatKind</name>
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<var>V1</var>
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<arg>
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<var>V2</var>
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<name>U12</name>
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<funapp>
<name>tt</name>
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<arg>
<var>V1</var>
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<arg>
<var>V2</var>
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<name>U13</name>
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<funapp>
<name>isNatKind</name>
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<var>V2</var>
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<arg>
<var>V1</var>
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<arg>
<var>V2</var>
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</funapp>
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<rule>
<lhs>
<funapp>
<name>U13</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
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<funapp>
<name>U14</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V2</var>
</arg>
</funapp>
</arg>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
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<rule>
<lhs>
<funapp>
<name>U14</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
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<rhs>
<funapp>
<name>U15</name>
<arg>
<funapp>
<name>isNat</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U15</name>
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<funapp>
<name>tt</name>
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<arg>
<var>V2</var>
</arg>
</funapp>
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<funapp>
<name>U16</name>
<arg>
<funapp>
<name>isNat</name>
<arg>
<var>V2</var>
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</funapp>
</arg>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U16</name>
<arg>
<funapp>
<name>tt</name>
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</arg>
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<rhs>
<funapp>
<name>tt</name>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U21</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>V1</var>
</arg>
</funapp>
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<rhs>
<funapp>
<name>U22</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
<arg>
<var>V1</var>
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<rule>
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<funapp>
<name>U22</name>
<arg>
<funapp>
<name>tt</name>
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<arg>
<var>V1</var>
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<funapp>
<name>U23</name>
<arg>
<funapp>
<name>isNat</name>
<arg>
<var>V1</var>
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</funapp>
</arg>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U23</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
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</funapp>
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<rhs>
<funapp>
<name>tt</name>
</funapp>
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<lhs>
<funapp>
<name>U31</name>
<arg>
<funapp>
<name>tt</name>
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<arg>
<var>V1</var>
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<arg>
<var>V2</var>
</arg>
</funapp>
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<funapp>
<name>U32</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
<arg>
<var>V1</var>
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<arg>
<var>V2</var>
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</funapp>
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<rule>
<lhs>
<funapp>
<name>U32</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
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<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
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<rhs>
<funapp>
<name>U33</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V2</var>
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</funapp>
</arg>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
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<rule>
<lhs>
<funapp>
<name>U33</name>
<arg>
<funapp>
<name>tt</name>
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</arg>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
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<rhs>
<funapp>
<name>U34</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V2</var>
</arg>
</funapp>
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<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U34</name>
<arg>
<funapp>
<name>tt</name>
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<arg>
<var>V1</var>
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<arg>
<var>V2</var>
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<funapp>
<name>U35</name>
<arg>
<funapp>
<name>isNat</name>
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<var>V1</var>
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<arg>
<var>V2</var>
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<lhs>
<funapp>
<name>U35</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
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<rhs>
<funapp>
<name>U36</name>
<arg>
<funapp>
<name>isNat</name>
<arg>
<var>V2</var>
</arg>
</funapp>
</arg>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U36</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
</funapp>
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<rhs>
<funapp>
<name>tt</name>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U41</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
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<rhs>
<funapp>
<name>U42</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V2</var>
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</funapp>
</arg>
</funapp>
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<rule>
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<funapp>
<name>U42</name>
<arg>
<funapp>
<name>tt</name>
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</funapp>
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<rhs>
<funapp>
<name>tt</name>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U51</name>
<arg>
<funapp>
<name>tt</name>
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</funapp>
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<rhs>
<funapp>
<name>tt</name>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U61</name>
<arg>
<funapp>
<name>tt</name>
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<arg>
<var>V2</var>
</arg>
</funapp>
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<funapp>
<name>U62</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V2</var>
</arg>
</funapp>
</arg>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U62</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
</funapp>
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<rhs>
<funapp>
<name>tt</name>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U71</name>
<arg>
<funapp>
<name>tt</name>
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</arg>
<arg>
<var>N</var>
</arg>
</funapp>
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<rhs>
<funapp>
<name>U72</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>N</var>
</arg>
</funapp>
</arg>
<arg>
<var>N</var>
</arg>
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<rule>
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<funapp>
<name>U72</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
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<arg>
<var>N</var>
</arg>
</funapp>
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<rhs>
<var>N</var>
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<rule>
<lhs>
<funapp>
<name>U81</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>M</var>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
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<rhs>
<funapp>
<name>U82</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>M</var>
</arg>
</funapp>
</arg>
<arg>
<var>M</var>
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<arg>
<var>N</var>
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<rule>
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<funapp>
<name>U82</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>M</var>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U83</name>
<arg>
<funapp>
<name>isNat</name>
<arg>
<var>N</var>
</arg>
</funapp>
</arg>
<arg>
<var>M</var>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U83</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>M</var>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U84</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>N</var>
</arg>
</funapp>
</arg>
<arg>
<var>M</var>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U84</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>M</var>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>s</name>
<arg>
<funapp>
<name>plus</name>
<arg>
<var>N</var>
</arg>
<arg>
<var>M</var>
</arg>
</funapp>
</arg>
</funapp>
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<rule>
<lhs>
<funapp>
<name>U91</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
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<rhs>
<funapp>
<name>U92</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>N</var>
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</arg>
</funapp>
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<rule>
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<funapp>
<name>U92</name>
<arg>
<funapp>
<name>tt</name>
</funapp>
</arg>
</funapp>
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<rhs>
<funapp>
<name>0</name>
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<rule>
<lhs>
<funapp>
<name>isNat</name>
<arg>
<funapp>
<name>0</name>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>tt</name>
</funapp>
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<rule>
<lhs>
<funapp>
<name>isNat</name>
<arg>
<funapp>
<name>plus</name>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U11</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
</rhs>
</rule>
<rule>
<lhs>
<funapp>
<name>isNat</name>
<arg>
<funapp>
<name>s</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U21</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
<arg>
<var>V1</var>
</arg>
</funapp>
</rhs>
</rule>
<rule>
<lhs>
<funapp>
<name>isNat</name>
<arg>
<funapp>
<name>x</name>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U31</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
</rhs>
</rule>
<rule>
<lhs>
<funapp>
<name>isNatKind</name>
<arg>
<funapp>
<name>0</name>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>tt</name>
</funapp>
</rhs>
</rule>
<rule>
<lhs>
<funapp>
<name>isNatKind</name>
<arg>
<funapp>
<name>plus</name>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U41</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
</rhs>
</rule>
<rule>
<lhs>
<funapp>
<name>isNatKind</name>
<arg>
<funapp>
<name>s</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U51</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
</funapp>
</rhs>
</rule>
<rule>
<lhs>
<funapp>
<name>isNatKind</name>
<arg>
<funapp>
<name>x</name>
<arg>
<var>V1</var>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U61</name>
<arg>
<funapp>
<name>isNatKind</name>
<arg>
<var>V1</var>
</arg>
</funapp>
</arg>
<arg>
<var>V2</var>
</arg>
</funapp>
</rhs>
</rule>
<rule>
<lhs>
<funapp>
<name>plus</name>
<arg>
<var>N</var>
</arg>
<arg>
<funapp>
<name>0</name>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U71</name>
<arg>
<funapp>
<name>isNat</name>
<arg>
<var>N</var>
</arg>
</funapp>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
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</rule>
<rule>
<lhs>
<funapp>
<name>plus</name>
<arg>
<var>N</var>
</arg>
<arg>
<funapp>
<name>s</name>
<arg>
<var>M</var>
</arg>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U81</name>
<arg>
<funapp>
<name>isNat</name>
<arg>
<var>M</var>
</arg>
</funapp>
</arg>
<arg>
<var>M</var>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
</rhs>
</rule>
<rule>
<lhs>
<funapp>
<name>x</name>
<arg>
<var>N</var>
</arg>
<arg>
<funapp>
<name>0</name>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U91</name>
<arg>
<funapp>
<name>isNat</name>
<arg>
<var>N</var>
</arg>
</funapp>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
</rhs>
</rule>
<rule>
<lhs>
<funapp>
<name>x</name>
<arg>
<var>N</var>
</arg>
<arg>
<funapp>
<name>s</name>
<arg>
<var>M</var>
</arg>
</funapp>
</arg>
</funapp>
</lhs>
<rhs>
<funapp>
<name>U101</name>
<arg>
<funapp>
<name>isNat</name>
<arg>
<var>M</var>
</arg>
</funapp>
</arg>
<arg>
<var>M</var>
</arg>
<arg>
<var>N</var>
</arg>
</funapp>
</rhs>
</rule>
</rules>
<signature>
<funcsym>
<name>U101</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>tt</name>
<arity>0</arity>
<replacementmap/>
</funcsym>
<funcsym>
<name>U102</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>isNatKind</name>
<arity>1</arity>
<replacementmap/>
</funcsym>
<funcsym>
<name>U103</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>isNat</name>
<arity>1</arity>
<replacementmap/>
</funcsym>
<funcsym>
<name>U104</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>plus</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
<entry>2</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>x</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
<entry>2</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U11</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U12</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U13</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U14</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U15</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U16</name>
<arity>1</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U21</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U22</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U23</name>
<arity>1</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U31</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U32</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U33</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U34</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U35</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U36</name>
<arity>1</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U41</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U42</name>
<arity>1</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U51</name>
<arity>1</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U61</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U62</name>
<arity>1</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U71</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U72</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U81</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U82</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U83</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U84</name>
<arity>3</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>s</name>
<arity>1</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U91</name>
<arity>2</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>U92</name>
<arity>1</arity>
<replacementmap>
<entry>1</entry>
</replacementmap>
</funcsym>
<funcsym>
<name>0</name>
<arity>0</arity>
<replacementmap/>
</funcsym>
</signature>
</trs>
<strategy>FULL</strategy>
<metainformation>
<originalfilename>./TRS/CSR_Maude/my-nat/MYNAT_complete-noand.trs</originalfilename>
</metainformation>
</problem>
