NO
<?xml version="1.0" encoding="UTF-8" standalone="no"?><?xml-stylesheet type="text/xsl" href="cpfHTML.xsl"?><certificationProblem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="cpf.xsd"><input><trsInput><trs><rules><rule><lhs><funapp><name>U114</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U136</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U101</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U102</name><arg><funapp><name>isNatKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U102</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U103</name><arg><funapp><name>isNatIListKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U103</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U104</name><arg><funapp><name>isNatIListKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U104</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U105</name><arg><funapp><name>isNat</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U105</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U106</name><arg><funapp><name>isNatIList</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U106</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U11</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U12</name><arg><funapp><name>isNatIListKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U111</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U112</name><arg><funapp><name>isNatIListKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U112</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U113</name><arg><funapp><name>isNat</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U113</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U114</name><arg><funapp><name>isNatKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U12</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U13</name><arg><funapp><name>isNatList</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U121</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U122</name><arg><funapp><name>isNatIListKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U122</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>U13</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>U131</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U132</name><arg><funapp><name>isNatIListKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U132</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U133</name><arg><funapp><name>isNat</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U133</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U134</name><arg><funapp><name>isNatKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U134</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U135</name><arg><funapp><name>isNat</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U135</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U136</name><arg><funapp><name>isNatKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U21</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U22</name><arg><funapp><name>isNatKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U22</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>U23</name><arg><funapp><name>isNat</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U23</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>U32</name><arg><funapp><name>isNatIListKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>U32</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs>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hs><funapp><name>isNatKind</name></funapp></lhs><rhs><funapp><name>U81</name><arg><funapp><name>isNatKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name></funapp></lhs><rhs><funapp><name>U91</name><arg><funapp><name>isNatKind</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>isNatList</name></funapp></lhs><rhs><funapp><name>U101</name><arg><funapp><name>isNatKind</name></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></funapp></arg></funapp></lhs><rhs><funapp><name>U111</name><arg><funapp><name>isNatList</name></funapp></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>U121</name><arg><funapp><name>isNatIList</name></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></funapp></arg></funapp></lhs><rhs><funapp><name>U131</name><arg><funapp><name>isNatIList</name></funapp></arg></funapp></rhs></rule></rules></trs><strategy><outermost/></strategy></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsNonterminationProof><loop><rewriteSequence><startTerm><funapp><name>U114</name><arg><funapp><name>tt</name></funapp></arg></funapp></startTerm><rewriteStep><positionInTerm/><rule><lhs><funapp><name>U114</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>length</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><funapp><name>s</name><arg><funapp><name>length</name><arg><funapp><name>U114</name><arg><funapp><name>tt</name></funapp></arg></funapp></arg></funapp></arg></funapp></rewriteStep></rewriteSequence><substitution/><funContext><name>s</name><before/><funContext><name>length</name><before/><box/><after/></funContext><after/></funContext></loop></trsNonterminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
</version><strategy>Statistics for single proof: 100.00 % (1 real / 0 unknown / 0 assumptions / 1 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>