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TRS_Innermost Certified 2019-04-01 06.48 pair #433315242
details
property
value
status
complete
benchmark
OvConsOS_complete_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n164.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
certified
runtime (wallclock)
13.0817 seconds
cpu usage
39.8309
user time
38.5298
system time
1.30109
max virtual memory
1.8750612E7
max residence set size
2602112.0
stage attributes
key
value
certification-result
CERTIFIED
output-size
354352
starexec-result
YES
certification-time
1.3
output
YES <?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>a__zeros</name></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>0</name></funapp></arg><arg><funapp><name>zeros</name></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U101</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U102</name><arg><funapp><name>a__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>a__U102</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U103</name><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U103</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U104</name><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U104</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U105</name><arg><funapp><name>a__isNat</name><arg><var>V1</var></arg></funapp></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U105</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U106</name><arg><funapp><name>a__isNatIList</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U106</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U11</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><name>a__U12</name><arg><funapp><name>a__isNatIListKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U111</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>a__U112</name><arg><funapp><name>a__isNatIListKind</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U112</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>a__U113</name><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U113</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></lhs><rhs><funapp><name>a__U114</name><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U114</name><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>a__length</name><arg><funapp><name>mark</name><arg><var>L</var></arg></funapp></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U12</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><name>a__U13</name><arg><funapp><name>a__isNatList</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U121</name><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><name>a__U122</name><arg><funapp><name>a__isNatIListKind</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U122</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U13</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U131</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>a__U132</name><arg><funapp><name>a__isNatIListKind</name><arg><var>IL</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U132</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>a__U133</name><arg><funapp><name>a__isNat</name><arg><var>M</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><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e>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U113</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>a__isNatKind</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U12</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U13</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U12</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatList</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U121</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U122</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>IL</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U121</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>IL</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U131</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>a__U132</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>IL</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U131</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>a__isNatIListKind</name></sharp><arg><var>IL</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U132</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>a__U133</name></sharp><arg><funapp><name>a__isNat</name><arg><var>M</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U132</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>a__isNat</name></sharp><arg><var>M</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U133</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>a__U134</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>M</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U133</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>a__isNatKind</name></sharp><arg><var>M</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U134</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>a__U135</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U134</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>a__isNat</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U135</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>a__U136</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U135</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>a__isNatKind</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U136</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>mark</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U21</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U22</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U21</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U22</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U23</name></sharp><arg><funapp><name>a__isNat</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U22</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNat</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U31</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U32</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V</var></arg></funapp></arg><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U31</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U32</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U33</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>V</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U32</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatList</name></sharp><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U41</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U42</name></sharp><arg><funapp><name>a__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><sharp><name>a__U41</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U42</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U43</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U42</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U43</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U44</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U43</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U44</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U45</name></sharp><arg><funapp><name>a__isNat</name><arg><var>V1</var></arg></funapp></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U44</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNat</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U45</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U46</name></sharp><arg><funapp><name>a__isNatIList</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U45</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U52</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U51</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U61</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U62</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U61</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U91</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U92</name></sharp><arg><funapp><name>a__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><sharp><name>a__U91</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U92</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U93</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U92</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U93</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U94</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U93</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U94</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U95</name></sharp><arg><funapp><name>a__isNat</name><arg><var>V1</var></arg></funapp></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U94</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNat</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U95</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U96</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U95</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatList</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNat</name></sharp><arg><funapp><name>length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U11</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNat</name></sharp><arg><funapp><name>length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNat</name></sharp><arg><funapp><name>s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U21</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNat</name></sharp><arg><funapp><name>s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U31</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V</var></arg></funapp></arg><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U41</name></sharp><arg><funapp><name>a__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><sharp><name>a__isNatIList</name></sharp><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U51</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><funapp><name>take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U61</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><funapp><name>take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><funapp><name>length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U71</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><funapp><name>length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><funapp><name>s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U81</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><funapp><name>s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatList</name></sharp><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U91</name></sharp><arg><funapp><name>a__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><sharp><name>a__isNatList</name></sharp><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatList</name></sharp><arg><funapp><name>take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U101</name></sharp><arg><funapp><name>a__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><sharp><name>a__isNatList</name></sharp><arg><funapp><name>take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__U111</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__isNatList</name></sharp><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__take</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U121</name></sharp><arg><funapp><name>a__isNatIList</name><arg><var>IL</var></arg></funapp></arg><arg><var>IL</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__take</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><var>IL</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__U131</name></sharp><arg><funapp><name>a__isNatIList</name><arg><var>IL</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__isNatIList</name></sharp><arg><var>IL</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>zeros</name></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__zeros</name></sharp></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U101</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U101</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U101</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U102</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U102</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U102</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>isNatKind</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatKind</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U103</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U103</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U103</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>isNatIListKind</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIListKind</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U104</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U104</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U104</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U105</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U105</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U105</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>isNat</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNat</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U106</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U106</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U106</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>isNatIList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U11</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U12</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U12</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U12</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U111</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U111</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U111</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U112</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U112</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U112</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U113</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U113</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U113</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U114</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U114</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U13</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U13</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U13</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>isNatList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatList</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U121</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U121</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U121</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U122</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U122</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U122</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U131</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U131</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U131</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U132</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U132</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U132</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U133</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U133</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U133</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U134</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U134</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U134</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U135</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U135</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U135</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U136</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U136</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U136</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__take</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>mark</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U21</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U22</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U22</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U22</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U23</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U23</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U23</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U31</name>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</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U51</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U52</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U52</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U52</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U61</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U62</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U62</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U62</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U71</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U71</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U71</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U81</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U81</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U81</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U91</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U91</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U91</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U92</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U92</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U92</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U93</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U93</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U93</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lh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p></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U131</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U131</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U131</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>a__U132</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>IL</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U132</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>a__U133</name></sharp><arg><funapp><name>a__isNat</name><arg><var>M</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U133</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>a__U134</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>M</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U134</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>a__U135</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U135</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>a__U136</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U136</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>mark</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U131</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U132</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U132</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U132</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U133</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U133</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U133</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U134</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U134</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U134</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U135</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U135</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U135</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U136</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U136</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U136</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__take</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>mark</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__U131</name></sharp><arg><funapp><name>a__isNatIList</name><arg><var>IL</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U22</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U23</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U32</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U33</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U41</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U43</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U44</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U45</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U46</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U52</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U62</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U71</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U81</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U91</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U92</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U93</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U94</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U95</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U96</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><redPairProc><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><sharp><name>a__length</name></sharp><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><sharp><name>a__take</name></sharp><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__U111</name></sharp><arity>3</arity><polynomial><sum><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__U112</name></sharp><arity>3</arity><polynomial><variable>2</variable></polynomial></interpret><interpret><sharp><name>a__U113</name></sharp><arity>3</arity><polynomial><variable>2</variable></polynomial></interpret><interpret><sharp><name>a__U114</name></sharp><arity>2</arity><polynomial><variable>2</variable></polynomial></interpret><interpret><sharp><name>a__U131</name></sharp><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__U132</name></sharp><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__U133</name></sharp><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__U134</name></sharp><arity>4</arity><polynomial><variable>4</variable></polynomial></interpret><interpret><sharp><name>a__U135</name></sharp><arity>4</arity><polynomial><variable>4</variable></polynomial></interpret><interpret><sharp><name>a__U136</name></sharp><arity>4</arity><polynomial><variable>4</variable></polynomial></interpret><interpret><name>mark</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>zeros</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__zeros</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U101</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U101</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U102</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U102</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>isNatKind</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNatKind</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U103</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U103</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>isNatIListKind</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNatIListKind</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U104</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U104</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U105</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U105</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>isNat</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNat</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U106</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U106</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>isNatIList</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNatIList</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U11</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U11</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U12</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U12</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U111</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></sum></polynomial></interpret><interpret><name>a__U111</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></sum></polynomial></interpret><interpret><name>U112</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>a__U112</name><arity>3</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>U113</name><arity>3</arity><polynomial><sum><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>a__U113</name><arity>3</arity><polynomial><sum><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>U114</name><arity>2</arity><polynomial><sum><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>a__U114</name><arity>2</arity><polynomial><sum><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>length</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__length</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U13</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U13</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>isNatList</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNatList</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U121</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></sum></polynomial></interpret><interpret><name>a__U121</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></sum></polynomial></interpret><interpret><name>U122</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U122</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U131</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U131</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U132</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U132</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U133</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U133</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U134</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U134</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U135</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U135</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U136</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U136</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>take</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>a__take</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>U21</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U21</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U22</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U22</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U23</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U23</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U31</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U31</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U32</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U32</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U33</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U33</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U41</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U41</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U42</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U42</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U43</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U43</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U44</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U44</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U45</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U45</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U46</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U46</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U51</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U51</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U52</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U52</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U61</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U61</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U62</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U62</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U71</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U71</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U81</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U81</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U91</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U91</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U92</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U92</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U93</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U93</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U94</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U94</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U95</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U95</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U96</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U96</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>cons</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>0</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>tt</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>s</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><sharp><name>mark</name></sharp><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret></interpretation></redPair></orderingConstraintProof><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U101</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U102</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U103</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U104</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U105</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U106</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U12</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U111</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U111</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U111</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>a__U112</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U112</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>a__U113</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U113</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>a__U114</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__U111</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U111</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U112</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U112</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U112</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U113</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U113</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U113</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U114</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U114</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U13</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U131</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U131</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U131</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>a__U132</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>IL</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U132</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>a__U133</name></sharp><arg><funapp><name>a__isNat</name><arg><var>M</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U134</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>a__U135</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U135</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>a__U136</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U136</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>mark</name></sharp><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U132</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U132</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U133</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U133</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg><arg><var>X4</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>take</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__take</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><funapp><name>mark</name><arg><var>X2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__U131</name></sharp><arg><funapp><name>a__isNatIList</name><arg><var>IL</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U22</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U23</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U32</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U33</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U41</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U43</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U44</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U45</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U46</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U52</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U62</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U71</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U81</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U91</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U92</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U93</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U94</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U95</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U96</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>a__U134</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>a__U135</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__U135</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>a__U136</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>IL</var></arg><arg><var>M</var></arg><arg><var>N</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__U136</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>mark</name></sharp><arg><var>N</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U102</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U101</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U103</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U104</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U105</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U106</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U12</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U111</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U111</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U111</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>a__U112</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U112</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>a__U113</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U113</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>a__U114</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__U111</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U111</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U112</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U112</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U112</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U113</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U113</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U113</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U114</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U114</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U13</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U22</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U23</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U32</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U33</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U41</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U43</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U44</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U45</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U46</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U52</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U62</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U71</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U81</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U91</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U92</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U93</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U94</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U95</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U96</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><redPairProc><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><sharp><name>a__length</name></sharp><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><sharp><name>a__U111</name></sharp><arity>3</arity><polynomial><sum><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__U112</name></sharp><arity>3</arity><polynomial><variable>2</variable></polynomial></interpret><interpret><sharp><name>a__U113</name></sharp><arity>3</arity><polynomial><variable>2</variable></polynomial></interpret><interpret><sharp><name>a__U114</name></sharp><arity>2</arity><polynomial><variable>2</variable></polynomial></interpret><interpret><name>mark</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>zeros</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__zeros</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U101</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U101</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U102</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U102</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>isNatKind</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNatKind</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U103</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U103</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>isNatIListKind</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNatIListKind</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U104</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U104</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U105</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U105</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>isNat</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNat</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U106</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U106</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>isNatIList</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNatIList</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U11</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U11</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U12</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U12</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U111</name><arity>3</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U111</name><arity>3</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U112</name><arity>3</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></sum></polynomial></interpret><interpret><name>a__U112</name><arity>3</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></sum></polynomial></interpret><interpret><name>U113</name><arity>3</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></sum></polynomial></interpret><interpret><name>a__U113</name><arity>3</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial><polynomial><variable>3</variable></polynomial></sum></polynomial></interpret><interpret><name>U114</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>a__U114</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>length</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></sum></polynomial></interpret><interpret><name>a__length</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></sum></polynomial></interpret><interpret><name>U13</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U13</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>isNatList</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__isNatList</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U121</name><arity>2</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__U121</name><arity>2</arity><polynomial><coefficient><integer>-2</integer></coefficient></polynomial></interpret><interpret><name>U122</name><arity>1</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__U122</name><arity>1</arity><polynomial><coefficient><integer>-2</integer></coefficient></polynomial></interpret><interpret><name>U131</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U131</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U132</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U132</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U133</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U133</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U134</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U134</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U135</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U135</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U136</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U136</name><arity>4</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>4</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>take</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>a__take</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>U21</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U21</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U22</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U22</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U23</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U23</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U31</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U31</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U32</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U32</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U33</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U33</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U41</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U41</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U42</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U42</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U43</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U43</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U44</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U44</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U45</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U45</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U46</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U46</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U51</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U51</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U52</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U52</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U61</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U61</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U62</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U62</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U71</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U71</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U81</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U81</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U91</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U91</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U92</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U92</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U93</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U93</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U94</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U94</name><arity>3</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U95</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U95</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U96</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__U96</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>cons</name><arity>2</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><variable>2</variable></polynomial></sum></polynomial></interpret><interpret><name>0</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>tt</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>s</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><sharp><name>mark</name></sharp><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret></interpretation></redPair></orderingConstraintProof><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U102</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U101</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U103</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U104</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U105</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U106</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U12</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U111</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>a__U112</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U112</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>a__U113</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U113</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>a__U114</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__U111</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U13</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U22</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U23</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U32</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U33</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U41</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U43</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U44</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U45</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U46</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U52</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U62</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U71</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U81</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U91</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U92</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U93</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U94</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U95</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U96</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__U111</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U111</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>a__U112</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U112</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>a__U113</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U113</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>a__U114</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><redPairProc><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><sharp><name>a__length</name></sharp><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>mark</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>zeros</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>a__zeros</name><arity>0</arity><polynomial><coefficient><integer>0</integer></coefficient></polynomial></interpret><interpret><name>U101</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U101</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U102</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U102</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>isNatKind</name><arity>1</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>a__isNatKind</name><arity>1</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>U103</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U103</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>isNatIListKind</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__isNatIListKind</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U104</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U104</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U105</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U105</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>isNat</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__isNat</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U106</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U106</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>isNatIList</name><arity>1</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>a__isNatIList</name><arity>1</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>U11</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U11</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U12</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U12</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U111</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U111</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U112</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U112</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U113</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U113</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U114</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U114</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>length</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__length</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U13</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U13</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>isNatList</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>a__isNatList</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>U121</name><arity>2</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>a__U121</name><arity>2</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>U122</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></sum></polynomial></interpret><interpret><name>a__U122</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></sum></polynomial></interpret><interpret><name>U131</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U131</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>U132</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U132</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>U133</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U133</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>U134</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U134</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>U135</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U135</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>U136</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U136</name><arity>4</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>take</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__take</name><arity>2</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U21</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U21</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U22</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U22</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U23</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U23</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>U31</name><arity>2</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U31</name><arity>2</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U32</name><arity>2</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U32</name><arity>2</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U33</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U33</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U41</name><arity>3</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>a__U41</name><arity>3</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>U42</name><arity>3</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>a__U42</name><arity>3</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>U43</name><arity>3</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>a__U43</name><arity>3</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>U44</name><arity>3</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>a__U44</name><arity>3</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>U45</name><arity>2</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>a__U45</name><arity>2</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>U46</name><arity>1</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>a__U46</name><arity>1</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>U51</name><arity>2</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U51</name><arity>2</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U52</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U52</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U61</name><arity>2</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U61</name><arity>2</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U62</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U62</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U71</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U71</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U81</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>a__U81</name><arity>1</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>U91</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U91</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>U92</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U92</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>U93</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U93</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>U94</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>a__U94</name><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></interpret><interpret><name>U95</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>a__U95</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>U96</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>a__U96</name><arity>1</arity><polynomial><variable>1</variable></polynomial></interpret><interpret><name>cons</name><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><name>0</name><arity>0</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><name>tt</name><arity>0</arity><polynomial><coefficient><integer>1</integer></coefficient></polynomial></interpret><interpret><name>s</name><arity>1</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></interpret><interpret><name>nil</name><arity>0</arity><polynomial><coefficient><integer>2</integer></coefficient></polynomial></interpret><interpret><sharp><name>a__U111</name></sharp><arity>3</arity><polynomial><sum><polynomial><variable>1</variable></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><sharp><name>a__U113</name></sharp><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><sharp><name>a__U112</name></sharp><arity>3</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret><interpret><sharp><name>a__U114</name></sharp><arity>2</arity><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></interpret></interpretation></redPair></orderingConstraintProof><dps><rules><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__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>a__U111</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U112</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>a__U113</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U113</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>a__U114</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule></rules></dps><dpProof><depGraphProc><component><dps><rules><rule><lhs><funapp><sharp><name>a__U112</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>a__U113</name></sharp><arg><funapp><name>a__isNat</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__U113</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>a__U114</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>N</var></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__length</name></sharp><arg><funapp><name>mark</name><arg><var>L</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__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>a__U111</name></sharp><arg><funapp><name>a__isNatList</name><arg><var>L</var></arg></funapp></arg><arg><var>L</var></arg><arg><var>N</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></redPairProc></dpProof></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__U114</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>L</var></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>L</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U101</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U102</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U103</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U104</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U105</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U106</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U12</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U13</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>mark</name></sharp><arg><var>X1</var></arg></funapp></rhs></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><sharp><name>a__U95</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__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>a__isNatList</name></sharp><arg><var>L</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>isNatList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatList</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U91</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U91</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U92</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U92</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U93</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U93</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>isNat</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNat</name></sharp><arg><var>X</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U21</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U22</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U22</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U11</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U12</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U12</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U101</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U101</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__take</name></sharp><arg><funapp><name>0</name></funapp></arg><arg><var>IL</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U121</name></sharp><arg><funapp><name>a__isNatIList</name><arg><var>IL</var></arg></funapp></arg><arg><var>IL</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U121</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U121</name></sharp><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>a__U102</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U103</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U103</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U104</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U104</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U105</name></sharp><arg><funapp><name>a__isNat</name><arg><var>V1</var></arg></funapp></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U105</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U31</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V</var></arg></funapp></arg><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U31</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U32</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V</var></arg></funapp></arg><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U32</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatList</name></sharp><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatList</name></sharp><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U91</name></sharp><arg><funapp><name>a__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><sharp><name>a__U91</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U92</name></sharp><arg><funapp><name>a__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><sharp><name>a__U92</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U93</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U93</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U94</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U94</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U95</name></sharp><arg><funapp><name>a__isNat</name><arg><var>V1</var></arg></funapp></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U95</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatList</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatList</name></sharp><arg><funapp><name>take</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U101</name></sharp><arg><funapp><name>a__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><sharp><name>a__U101</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U102</name></sharp><arg><funapp><name>a__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><sharp><name>a__U94</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNat</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNat</name></sharp><arg><funapp><name>length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U11</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U11</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U12</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U12</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatList</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNat</name></sharp><arg><funapp><name>s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U21</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U21</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U22</name></sharp><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U22</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNat</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U41</name></sharp><arg><funapp><name>a__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><sharp><name>a__U41</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U42</name></sharp><arg><funapp><name>a__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><sharp><name>a__U42</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U43</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U43</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U44</name></sharp><arg><funapp><name>a__isNatIListKind</name><arg><var>V2</var></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U44</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__U45</name></sharp><arg><funapp><name>a__isNat</name><arg><var>V1</var></arg></funapp></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U45</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNatIList</name></sharp><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U44</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNat</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><sharp><name>a__U104</name></sharp><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><sharp><name>a__isNat</name></sharp><arg><var>V1</var></arg></funapp></rhs></rule></rules></dps><realScc>true</realScc><dpProof><usableRulesProc><usableRules><rules><rule><lhs><funapp><name>a__isNat</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNat</name><arg><funapp><name>length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U11</name><arg><funapp><name>a__isNatIListKind</name><arg><var>V1</var></arg></funapp><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></funapp></lhs><rhs><funapp><sharp><name>a__U106</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U13</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U13</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U122</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U122</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U23</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U23</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U33</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U33</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U46</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U46</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U52</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U52</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U62</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U62</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U71</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U71</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U81</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U81</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component><component><dps><rules><rule><lhs><funapp><sharp><name>mark</name></sharp><arg><funapp><name>U96</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><sharp><name>a__U96</name></sharp><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule></rules></dps><realScc>false</realScc></component></depGraphProc></dpProof></dpTrans></trsTerminationProof></proof><origin><proofOrigin><tool><name>AProVE</name><version>AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty </version><strategy>Statistics for single proof: 100.00 % (17 real / 0 unknown / 0 assumptions / 17 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>
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return to TRS_Innermost Certified 2019-04-01 06.48
