details

property	value
status	complete
benchmark	PALINDROME_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n192.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	certified
runtime (wallclock)	7.24140310287 seconds
cpu usage	15.655724925
max memory	7.32205056E8

stage attributes

key	value
certification-result	CERTIFIED
output-size	131784
starexec-result	YES
certification-time	0.1

output

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FilterEntry><name>U26</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>U31</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U31</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U32</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U32</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U33</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>isQid</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>a__isQid</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>U41</name><arity>3</arity><nonCollapsing><position>2</position><position>3</position><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U41</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U42</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U42</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U43</name><arity>3</arity><nonCollapsing><position>1</position><position>3</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U43</name><arity>3</arity><nonCollapsing><position>2</position><position>1</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U44</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U44</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U45</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U45</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U46</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>a__U46</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>U51</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U51</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U52</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U52</name><arity>3</arity><nonCollapsing><position>1</position><position>3</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U53</name><arity>3</arity><nonCollapsing><position>3</position><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U53</name><arity>3</arity><nonCollapsing><position>1</position><position>3</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U54</name><arity>3</arity><nonCollapsing><position>2</position><position>1</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U54</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U55</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U55</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U56</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>a__U56</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>U61</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U61</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U62</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U62</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U63</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>U71</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U71</name><arity>3</arity><nonCollapsing><position>1</position><position>2</position><position>3</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U72</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U72</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U73</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U73</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>isPal</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__isPal</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U74</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U81</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U81</name><arity>2</arity><nonCollapsing><position>2</position><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U82</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U82</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U83</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>isNePal</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__isNePal</name><arity>1</arity><nonCollapsing><position>1</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U91</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>a__U91</name><arity>2</arity><nonCollapsing><position>1</position><position>2</position></nonCollapsing></argumentFilterEntry><argumentFilterEntry><name>U92</name><arity>1</arity><collapsing>1</collapsing></argumentFilterEntry><argumentFilterEntry><name>a</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>e</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>i</name><arity>0</arity><nonCollapsing/></argumentFilterEntry><argumentFilterEntry><name>u</name><arity>0</arity><nonCollapsing/></argumentFilterEntry></argumentFilter></pathOrder></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>a__U26</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U33</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U63</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U92</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>isPalListKind</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isPalListKind</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U26</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U26</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>U33</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U33</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>U46</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U46</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>U56</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U56</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>U63</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U63</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>U92</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U92</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNeList</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNeList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U23</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></lhs><rhs><funapp><name>U23</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U26</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U26</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U32</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U32</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U33</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U33</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isQid</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isQid</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U45</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U45</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U46</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U46</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U56</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U56</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U63</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U63</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U71</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U74</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U74</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U83</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U83</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNePal</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNePal</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U92</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><var>X</var></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><interpretation><type><polynomial><domain><naturals/></domain><degree>1</degree></polynomial></type><interpret><name>a__U26</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>tt</name><arity>0</arity><polynomial><sum><polynomial><coefficient><integer>0</integer></coefficient></polynomial></sum></polynomial></interpret><interpret><name>a__U33</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U63</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U92</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>mark</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isPalListKind</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__isPalListKind</name><arity>1</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></sum></polynomial></interpret><interpret><name>isList</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__isList</name><arity>1</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></sum></polynomial></interpret><interpret><name>U26</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U33</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U46</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U46</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U56</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U56</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U63</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U92</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNeList</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U23</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><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U23</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><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U32</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U32</name><arity>2</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__isQid</name><arity>1</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></sum></polynomial></interpret><interpret><name>isQid</name><arity>1</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></sum></polynomial></interpret><interpret><name>a__U45</name><arity>2</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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U45</name><arity>2</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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U71</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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U71</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><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>2</variable></polynomial></product></polynomial><polynomial><product><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><variable>3</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U74</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>U74</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>2</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>a__U83</name><arity>1</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></sum></polynomial></interpret><interpret><name>U83</name><arity>1</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></sum></polynomial></interpret><interpret><name>a__isNePal</name><arity>1</arity><polynomial><sum><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret><interpret><name>isNePal</name><arity>1</arity><polynomial><sum><polynomial><product><polynomial><coefficient><integer>1</integer></coefficient></polynomial><polynomial><variable>1</variable></polynomial></product></polynomial></sum></polynomial></interpret></interpretation></redPair></orderingConstraintProof><trs><rules><rule><lhs><funapp><name>a__U26</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U33</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U63</name><arg><funapp><name>tt</name></funapp></arg></funapp></lhs><rhs><funapp><name>tt</name></funapp></rhs></rule><rule><lhs><funapp><name>a__U92</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>isPalListKind</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isPalListKind</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>isList</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__isList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>mark</name><arg><funapp><name>U26</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U26</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>U33</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U33</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>U46</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U46</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>U56</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U56</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>U63</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U63</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>U92</name><arg><var>X</var></arg></funapp></arg></funapp></lhs><rhs><funapp><name>a__U92</name><arg><funapp><name>mark</name><arg><var>X</var></arg></funapp></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isNeList</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isNeList</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U23</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></lhs><rhs><funapp><name>U23</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U26</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U26</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U32</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U32</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U33</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U33</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__isQid</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>isQid</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U45</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></lhs><rhs><funapp><name>U45</name><arg><var>X1</var></arg><arg><var>X2</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U46</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U46</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U56</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U56</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U63</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U63</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U71</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></lhs><rhs><funapp><name>U71</name><arg><var>X1</var></arg><arg><var>X2</var></arg><arg><var>X3</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U74</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U74</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U83</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U83</name><arg><var>X</var></arg></funapp></rhs></rule><rule><lhs><funapp><name>a__U92</name><arg><var>X</var></arg></funapp></lhs><rhs><funapp><name>U92</name><arg><var>X</var></arg></funapp></rhs></rule></rules></trs><trsTerminationProof><ruleRemoval><orderingConstraintProof><redPair><knuthBendixOrder><w0>1</w0><precedenceWeight><precedenceWeightEntry><name>tt</name><arity>0</arity><precedence>26</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U26</name><arity>1</arity><precedence>29</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U33</name><arity>1</arity><precedence>19</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U63</name><arity>1</arity><precedence>28</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U92</name><arity>1</arity><precedence>4</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>mark</name><arity>1</arity><precedence>30</precedence><weight>2</weight></precedenceWeightEntry><precedenceWeightEntry><name>isPalListKind</name><arity>1</arity><precedence>31</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__isPalListKind</name><arity>1</arity><precedence>0</precedence><weight>3</weight></precedenceWeightEntry><precedenceWeightEntry><name>isList</name><arity>1</arity><precedence>32</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__isList</name><arity>1</arity><precedence>1</precedence><weight>3</weight></precedenceWeightEntry><precedenceWeightEntry><name>U26</name><arity>1</arity><precedence>24</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>U33</name><arity>1</arity><precedence>15</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>U46</name><arity>1</arity><precedence>11</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U46</name><arity>1</arity><precedence>21</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>U56</name><arity>1</arity><precedence>18</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U56</name><arity>1</arity><precedence>20</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>U63</name><arity>1</arity><precedence>2</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>U92</name><arity>1</arity><precedence>3</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__isNeList</name><arity>1</arity><precedence>5</precedence><weight>2</weight></precedenceWeightEntry><precedenceWeightEntry><name>isNeList</name><arity>1</arity><precedence>6</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__isQid</name><arity>1</arity><precedence>16</precedence><weight>2</weight></precedenceWeightEntry><precedenceWeightEntry><name>isQid</name><arity>1</arity><precedence>10</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U74</name><arity>1</arity><precedence>25</precedence><weight>2</weight></precedenceWeightEntry><precedenceWeightEntry><name>U74</name><arity>1</arity><precedence>27</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U83</name><arity>1</arity><precedence>23</precedence><weight>2</weight></precedenceWeightEntry><precedenceWeightEntry><name>U83</name><arity>1</arity><precedence>33</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U23</name><arity>3</arity><precedence>7</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>U23</name><arity>3</arity><precedence>8</precedence><weight>0</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U32</name><arity>2</arity><precedence>12</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>U32</name><arity>2</arity><precedence>9</precedence><weight>0</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U45</name><arity>2</arity><precedence>17</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>U45</name><arity>2</arity><precedence>13</precedence><weight>0</weight></precedenceWeightEntry><precedenceWeightEntry><name>a__U71</name><arity>3</arity><precedence>14</precedence><weight>1</weight></precedenceWeightEntry><precedenceWeightEntry><name>U71</name><arity>3</arity><precedence>22</precedence><weight>0</weight></precedenceWeightEntry></precedenceWeight></knuthBendixOrder></redPair></orderingConstraintProof><trs><rules/></trs><trsTerminationProof><rIsEmpty/></trsTerminationProof></ruleRemoval></trsTerminationProof></ruleRemoval></trsTerminationProof></ruleRemoval></trsTerminationProof></ruleRemoval></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 % (5 real / 0 unknown / 0 assumptions / 5 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> popout

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