/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach-cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


MAYBE
<?xml version="1.0"?>
<?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__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__isNatList</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U12</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U21</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><name>a__U22</name><arg><funapp><name>a__isNat</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U22</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U31</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>a__U32</name><arg><funapp><name>a__isNatList</name><arg><var>V</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U32</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U42</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__U42</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U43</name><arg><funapp><name>a__isNatIList</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U43</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U52</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__U52</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U53</name><arg><funapp><name>a__isNatList</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U53</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U61</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__and</name><arg><funapp><name>tt</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>mark</name><arg><var>X</var></arg></funapp></rhs></rule><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></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNat</name><arg><funapp><name>s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U21</name><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>a__U31</name><arg><funapp><name>a__isNatIListKind</name><arg><var>V</var></arg></funapp></arg><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIList</name><arg><funapp><name>zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIList</name><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U41</name><arg><funapp><name>a__and</name><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><funapp><name>isNatIListKind</name><arg><var>V2</var></arg></funapp></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIListKind</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIListKind</name><arg><funapp><name>zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIListKind</name><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__and</name><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><funapp><name>isNatIListKind</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatKind</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatKind</name><arg><funapp><name>length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatIListKind</name><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatKind</name><arg><funapp><name>s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatList</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatList</name><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U51</name><arg><funapp><name>a__and</name><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><funapp><name>isNatIListKind</name><arg><var>V2</var></arg></funapp></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>a__length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U61</name><arg><funapp><name>a__and</name><arg><funapp><name>a__and</name><arg><funapp><name>a__isNatList</name><arg><var>L</var></arg></funapp></arg><arg><funapp><name>isNatIListKind</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>and</name><arg><funapp><name>isNat</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>isNatKind</name><arg><var>N</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>a__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U11</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U12</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U12</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNatList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U21</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U22</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U22</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNat</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNat</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U31</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U32</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U32</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><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><name>a__U41</name><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><name>mark</name><arg><funapp><name>U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U42</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U43</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U43</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNatIList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatIList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U51</name><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><name>mark</name><arg><funapp><name>U52</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U52</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U53</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U53</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U61</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__length</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>and</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__and</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNatIListKind</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatIListKind</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNatKind</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatKind</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>a__zeros</name></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U12</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U12</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatList</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNatList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U22</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U22</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNat</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNat</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U32</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U32</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U41</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U43</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U43</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIList</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNatIList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U52</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U53</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U53</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__and</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>and</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIListKind</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNatIListKind</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatKind</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNatKind</name><arg><var>X</var></arg></funapp></rhs></rule></rules></trs></trsInput></input><cpfVersion>2.1</cpfVersion><proof><trsTerminationProof><terminationAssumption><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__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__isNatList</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U12</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U21</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg></funapp></lhs><rhs><funapp><name>a__U22</name><arg><funapp><name>a__isNat</name><arg><var>V1</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U22</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U31</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>a__U32</name><arg><funapp><name>a__isNatList</name><arg><var>V</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U32</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U41</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U42</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__U42</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U43</name><arg><funapp><name>a__isNatIList</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U43</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U51</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U52</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__U52</name><arg><funapp><name>tt</name></funapp></arg><arg><var>V2</var></arg></funapp></lhs><rhs><funapp><name>a__U53</name><arg><funapp><name>a__isNatList</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U53</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U61</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__and</name><arg><funapp><name>tt</name></funapp></arg><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>mark</name><arg><var>X</var></arg></funapp></rhs></rule><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></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNat</name><arg><funapp><name>s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U21</name><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIList</name><arg><var>V</var></arg></funapp></lhs><rhs><funapp><name>a__U31</name><arg><funapp><name>a__isNatIListKind</name><arg><var>V</var></arg></funapp></arg><arg><var>V</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIList</name><arg><funapp><name>zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIList</name><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U41</name><arg><funapp><name>a__and</name><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><funapp><name>isNatIListKind</name><arg><var>V2</var></arg></funapp></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIListKind</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIListKind</name><arg><funapp><name>zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIListKind</name><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__and</name><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><funapp><name>isNatIListKind</name><arg><var>V2</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatKind</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatKind</name><arg><funapp><name>length</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatIListKind</name><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatKind</name><arg><funapp><name>s</name><arg><var>V1</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatList</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatList</name><arg><funapp><name>cons</name><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U51</name><arg><funapp><name>a__and</name><arg><funapp><name>a__isNatKind</name><arg><var>V1</var></arg></funapp></arg><arg><funapp><name>isNatIListKind</name><arg><var>V2</var></arg></funapp></arg></funapp></arg><arg><var>V1</var></arg><arg><var>V2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__length</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>a__length</name><arg><funapp><name>cons</name><arg><var>N</var></arg><arg><var>L</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U61</name><arg><funapp><name>a__and</name><arg><funapp><name>a__and</name><arg><funapp><name>a__isNatList</name><arg><var>L</var></arg></funapp></arg><arg><funapp><name>isNatIListKind</name><arg><var>L</var></arg></funapp></arg></funapp></arg><arg><funapp><name>and</name><arg><funapp><name>isNat</name><arg><var>N</var></arg></funapp></arg><arg><funapp><name>isNatKind</name><arg><var>N</var></arg></funapp></arg></funapp></arg></funapp></arg><arg><var>L</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>zeros</name></funapp></arg></funapp></lhs><rhs><funapp><name>a__zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U11</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U12</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U12</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNatList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U21</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U22</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U22</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNat</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNat</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U31</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U32</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U32</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><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><name>a__U41</name><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><name>mark</name><arg><funapp><name>U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U42</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U43</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U43</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNatIList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatIList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U51</name><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><name>mark</name><arg><funapp><name>U52</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U52</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U53</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U53</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U61</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>length</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__length</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>and</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__and</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNatIListKind</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatIListKind</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isNatKind</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isNatKind</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>cons</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>cons</name><arg><funapp><name>mark</name><arg><var>X1</var></arg></funapp></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>0</name></funapp></arg></funapp></lhs><rhs><funapp><name>0</name></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>s</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>s</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>nil</name></funapp></arg></funapp></lhs><rhs><funapp><name>nil</name></funapp></rhs></rule><rule><lhs><funapp><name>a__zeros</name></funapp></lhs><rhs><funapp><name>zeros</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U11</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U12</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U12</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatList</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNatList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U21</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U22</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U22</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNat</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNat</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U31</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U32</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U32</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U41</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></lhs><rhs><funapp><name>U41</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U42</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U43</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U43</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIList</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNatIList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></lhs><rhs><funapp><name>U51</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U52</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U52</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U53</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U53</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U61</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__length</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>length</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__and</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>and</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatIListKind</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNatIListKind</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNatKind</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNatKind</name><arg><var>X</var></arg></funapp></rhs></rule></rules></trs></trsInput></terminationAssumption></trsTerminationProof></proof><origin><proofOrigin><tool><name>ttt2</name><version>ttt2 1.17 [hg: a28b6edf8379]</version><strategy>((if standard then var else fail) | con | (if srs then ((sleep -t 25?;rlab;(((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[5] | arctic -dp -ur -dim 2 -ib 2 -ob 2[8] | arctic -dp -ur -dim 3 -ib 1 -ob 1[8] | arctic -dp -ur -dim 4 -ib 1 -ob 1[8] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[5] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[8] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[8] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[8] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[42])! || ((((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[5] | arctic -dp -ur -dim 2 -ib 2 -ob 2[8] | arctic -dp -ur -dim 3 -ib 1 -ob 1[8] | arctic -dp -ur -dim 4 -ib 1 -ob 1[8] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[5] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[8] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[8] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[8] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[42])! || (rev?;((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[5] | arctic -dp -ur -dim 2 -ib 2 -ob 2[8] | arctic -dp -ur -dim 3 -ib 1 -ob 1[8] | arctic -dp -ur -dim 4 -ib 1 -ob 1[8] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[5] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[8] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[8] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[8] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))![42])! ) else ((((( (if srs then arctic -dim 1 -ib 4 -ob 5 else fail) || (if srs then arctic -dim 2 -ib 2 -ob 3 else fail) || (if srs then arctic -dim 3 -ib 1 -ob 2 else fail) || (if srs then arctic -dim 3 -ib 2 -ob 2 else fail) || matrix -dim 1 -ib 5 -ob 8 || matrix -dim 2 -ib 3 -ob 4 || matrix -dim 3 -ib 2 -ob 3 || matrix -dim 3 -ib 1 -ob 2 || matrix -dim 4 -ib 1 -ob 2 || matrix -dim 5 -ib 1 -ob 1 || kbo -ib 3 -ob 4 || fail)[5]*);((dp;(edg -gtcap -nl[1.0]?;(sccs | ((sc || sc -rec -defs || sc -mulex -defs) || sct || {ur?;( matrix -dp -ur -dim 1 -ib 3 -ob 5 || matrix -dp -ur -dim 1 -ib 3 -ob 8 -rat 2 -db 1 || matrix -dp -ur -dim 1 -ib 4 -ob 10 -rat 4 -db 1 || matrix -dp -ur -dim 2 -ib 2 -ob 3 || matrix -dp -ur -dim 2 -ib 3 -ob 4 -rat 2 -db 0 || matrix -dp -ur -dim 3 -ib 1 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 || matrix -dp -ur -dim 3 -ib 2 -ob 3 -rat 2 -db 0 || matrix -dp -ur -dim 4 -ib 1 -ob 2 || lpo -ur -af || (arctic -dp -ur -dim 1 -ib 4 -ob 3[5] | arctic -dp -ur -dim 2 -ib 2 -ob 2[8] | arctic -dp -ur -dim 3 -ib 1 -ob 1[8] | arctic -dp -ur -dim 4 -ib 1 -ob 1[8] | fail) || (arctic -bz -dp -ur -dim 1 -ib 4 -ob 3[5] | arctic -bz -dp -ur -dim 2 -ib 2 -ob 2[8] | arctic -bz -dp -ur -dim 3 -ib 1 -ob 1[8] | arctic -bz -dp -ur -dim 4 -ib 1 -ob 1[8] | fail) || fail) } restore) )*[29])) || (bounds -cert || fail;(bounds -rfc -qc))))! || (( unfold || fail)*[7])!)[42])))</strategy></tool></proofOrigin></origin></certificationProblem>