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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="1" unmarked="a__U22"><NAME>Marked_a__U22</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNat</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U61</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U43</NAME></SYMBOL><SYMBOL arity="3" unmarked="a__U51"><NAME>Marked_a__U51</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U61</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U32</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>tt</NAME></SYMBOL><SYMBOL arity="3" unmarked="a__U41"><NAME>Marked_a__U41</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNatKind</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatIList</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U32</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__length"><NAME>Marked_a__length</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U53</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatList</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U11"><NAME>Marked_a__U11</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>a__zeros</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U31"><NAME>Marked_a__U31</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>nil</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U52</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U42</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__U53"><NAME>Marked_a__U53</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__length</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U22</NAME></SYMBOL><SYMBOL arity="1" unmarked="mark"><NAME>Marked_mark</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNatList</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__U43"><NAME>Marked_a__U43</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNatIListKind</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U42</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNat</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNatIListKind"><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U52</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U11</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNatList"><NAME>Marked_a__isNatList</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>0</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNat"><NAME>Marked_a__isNat</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>and</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U53</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>a__U41</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U52"><NAME>Marked_a__U52</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>mark</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U31</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U11</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U42"><NAME>Marked_a__U42</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>length</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U43</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U21</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__and"><NAME>Marked_a__and</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>a__U51</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U12</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__U12"><NAME>Marked_a__U12</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>zeros</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__U32"><NAME>Marked_a__U32</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatIListKind</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U51</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U31</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U61"><NAME>Marked_a__U61</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>s</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U21</NAME></SYMBOL><SYMBOL arity="0" unmarked="a__zeros"><NAME>Marked_a__zeros</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U12</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNatIList"><NAME>Marked_a__isNatIList</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__and</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>U41</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U22</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNatKind"><NAME>Marked_a__isNatKind</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNatIList</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatKind</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U21"><NAME>Marked_a__U21</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>cons</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>X3</VAR><VAR>X2</VAR><VAR>X1</VAR><VAR>N</VAR><VAR>X</VAR><VAR>L</VAR><VAR>V2</VAR><VAR>V</VAR><VAR>V1</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" 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and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" 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and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__U12(a__isNatList(V1))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__U22(a__isNat(V1))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__U32(a__isNatList(V))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__U43(a__isNatIList(V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__U53(a__isNatList(V2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__U61(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__U61(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__U11(a__isNatIListKind(V1),V1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="32"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
               and(isNat(N),isNatKind(N))),L)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__and(a__isNatList(L),isNatIListKind(L)),
 and(isNat(N),isNatKind(N)))</RHS></DPRULE><DPRULE num="35"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__isNatList(L),isNatIListKind(L))</RHS></DPRULE><DPRULE num="36"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__isNatList(L)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(zeros)</LHS><RHS>Marked_a__zeros</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_a__U12(mark(X))</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_a__U22(mark(X))</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_a__U32(mark(X))</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="55"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="56"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_a__U43(mark(X))</RHS></DPRULE><DPRULE num="57"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="58"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="59"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="60"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="61"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="62"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="63"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_a__U53(mark(X))</RHS></DPRULE><DPRULE num="64"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="65"><LHS>Marked_mark(U61(X1,X2))</LHS><RHS>Marked_a__U61(mark(X1),X2)</RHS></DPRULE><DPRULE num="66"><LHS>Marked_mark(U61(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="67"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="68"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="69"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="70"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="71"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="72"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="73"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="74"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="1"/><NODE ref="3"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="38"/><NODE ref="39"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="51"/><NODE ref="52"/><NODE ref="53"/><NODE ref="54"/><NODE ref="55"/><NODE ref="57"/><NODE ref="58"/><NODE ref="59"/><NODE ref="60"/><NODE ref="61"/><NODE ref="62"/><NODE ref="64"/><NODE ref="65"/><NODE ref="66"/><NODE ref="67"/><NODE ref="68"/><NODE ref="69"/><NODE ref="70"/><NODE ref="71"/><NODE ref="72"/><NODE ref="73"/><NODE ref="74"/></SCC><NONSCC num="1"><NODE ref="63"/></NONSCC><NONSCC num="2"><NODE ref="56"/></NONSCC><NONSCC num="3"><NODE ref="50"/></NONSCC><NONSCC num="4"><NODE ref="45"/></NONSCC><NONSCC num="5"><NODE ref="40"/></NONSCC><NONSCC num="6"><NODE ref="37"/></NONSCC><NONSCC num="7"><NODE ref="12"/></NONSCC><NONSCC num="8"><NODE ref="8"/></NONSCC><NONSCC num="9"><NODE ref="4"/></NONSCC><NONSCC num="10"><NODE ref="2"/></NONSCC><NONSCC num="11"><NODE ref="0"/></NONSCC></CCLIST><EDGE end="11" start="0"/><EDGE end="10" start="0"/><EDGE end="9" start="0"/><EDGE end="8" start="0"/><EDGE end="7" start="0"/><EDGE end="6" start="0"/><EDGE end="5" start="0"/><EDGE end="4" start="0"/><EDGE end="3" start="0"/><EDGE end="2" start="0"/><EDGE end="1" start="0"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__U61(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__U61(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__U11(a__isNatIListKind(V1),V1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
               and(isNat(N),isNatKind(N))),L)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__and(a__isNatList(L),isNatIListKind(L)),
 and(isNat(N),isNatKind(N)))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__isNatList(L),isNatIListKind(L))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__isNatList(L)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(U61(X1,X2))</LHS><RHS>Marked_a__U61(mark(X1),X2)</RHS></DPRULE><DPRULE num="55"><LHS>Marked_mark(U61(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="56"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="57"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="58"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="59"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="60"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="61"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="62"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="63"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U61(X1,X2))</LHS><RHS>Marked_a__U61(mark(X1),X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U61(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__U61(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__U61(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__U11(a__isNatIListKind(V1),V1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="27"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
               and(isNat(N),isNatKind(N))),L)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__and(a__isNatList(L),isNatIListKind(L)),
 and(isNat(N),isNatKind(N)))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__isNatList(L),isNatIListKind(L))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__isNatList(L)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="54"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="55"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="56"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="57"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="58"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="59"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/><NODE ref="51"/><NODE ref="52"/><NODE ref="53"/><NODE ref="54"/><NODE ref="55"/><NODE ref="56"/><NODE ref="57"/><NODE ref="58"/><NODE ref="59"/></SCC><NONSCC num="1"><NODE ref="31"/></NONSCC><NONSCC num="2"><NODE ref="30"/></NONSCC><NONSCC num="3"><NODE ref="29"/></NONSCC><SCC num="4"><NODE ref="9"/><NODE ref="28"/></SCC><NONSCC num="5"><NODE ref="10"/></NONSCC></CCLIST><EDGE end="0" start="1"/><EDGE end="0" start="2"/><EDGE end="0" start="3"/><EDGE end="5" start="4"/><EDGE end="3" start="4"/><EDGE end="2" start="4"/><EDGE end="1" start="4"/><EDGE end="0" start="5"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
               and(isNat(N),isNatKind(N))),L)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
               and(isNat(N),isNatKind(N))),L)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="0"/></NONSCC></CCLIST></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__U11(a__isNatIListKind(V1),V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="25"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="52"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="53"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__U11(a__isNatIListKind(V1),V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/><NODE ref="51"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="51"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/><NODE ref="48"/><NODE ref="49"/><NODE ref="50"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="48"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="49"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="50"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/><NODE ref="46"/><NODE ref="47"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="46"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="47"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,V1)</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="45"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/></SCC><NONSCC num="1"><NODE ref="20"/></NONSCC></CCLIST><EDGE end="1" start="0"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U12(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="41"/><NODE ref="42"/><NODE ref="43"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__U31(tt,V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__U52(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_a__U52(mark(X1),X2)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U52(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatIListKind(V),V)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_a__U31(mark(X1),X2)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/><NODE ref="32"/><NODE ref="33"/><NODE ref="34"/><NODE ref="35"/><NODE ref="36"/></SCC><NONSCC num="1"><NODE ref="19"/></NONSCC><NONSCC num="2"><NODE ref="9"/></NONSCC><NONSCC num="3"><NODE ref="5"/></NONSCC></CCLIST><EDGE end="2" start="0"/><EDGE end="1" start="0"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_a__U41(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U41(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_a__U42(mark(X1),X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U42(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__U42(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U41(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U42(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatIListKind(V)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="27"/><NODE ref="28"/></SCC><NONSCC num="1"><NODE ref="8"/></NONSCC><NONSCC num="2"><NODE ref="3"/></NONSCC><NONSCC num="3"><NODE ref="2"/></NONSCC><NONSCC num="4"><NODE ref="1"/></NONSCC></CCLIST><EDGE end="0" start="1"/><EDGE end="1" start="2"/><EDGE end="0" start="3"/><EDGE end="2" start="4"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U31(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U32(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_a__U51(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U51(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U52(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U51(tt,V1,V2)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/></SCC><NONSCC num="1"><NODE ref="1"/></NONSCC></CCLIST><EDGE end="0" start="1"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_a__U21(mark(X1),X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="1"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/></SCC><NONSCC num="1"><NODE ref="3"/></NONSCC><SCC num="2"><NODE ref="0"/><NODE ref="2"/></SCC></CCLIST><EDGE end="0" start="1"/><EDGE end="1" start="2"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNatKind(V1),V1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U21(tt,V1)</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="0"/></NONSCC></CCLIST></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNatKind(length(V1))</LHS><RHS>Marked_a__isNatIListKind(V1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(isNatKind(X))</LHS><RHS>Marked_a__isNatKind(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="11"/></SCC><NONSCC num="1"><NODE ref="10"/></NONSCC><SCC num="2"><NODE ref="3"/></SCC><NONSCC num="3"><NODE ref="2"/></NONSCC></CCLIST><EDGE end="3" start="0"/><EDGE end="1" start="0"/><EDGE end="2" start="1"/><EDGE end="2" start="3"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNatIListKind(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(isNatIListKind(X))</LHS><RHS>Marked_a__isNatIListKind(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="5"/></SCC><NONSCC num="1"><NODE ref="4"/></NONSCC><NONSCC num="2"><NODE ref="0"/></NONSCC></CCLIST><EDGE end="1" start="0"/><EDGE end="1" start="2"/><EDGE end="0" start="2"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U53(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U43(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,V1)</LHS><RHS>a__U12(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__U12(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V1)</LHS><RHS>a__U22(a__isNat(V1))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt,V)</LHS><RHS>a__U32(a__isNatList(V))</RHS></RULE><RULE><LHS>a__U32(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V1,V2)</LHS><RHS>a__U42(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U42(tt,V2)</LHS><RHS>a__U43(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U43(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V1,V2)</LHS><RHS>a__U52(a__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__U52(tt,V2)</LHS><RHS>a__U53(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U53(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatIListKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNatKind(V1),V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatIListKind(V),V)</RHS></RULE><RULE><LHS>a__isNatIList(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIList(cons(V1,V2))</LHS><RHS>a__U41(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__isNatIListKind(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(zeros)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatIListKind(cons(V1,V2))</LHS><RHS>a__and(a__isNatKind(V1),isNatIListKind(V2))</RHS></RULE><RULE><LHS>a__isNatKind(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatKind(length(V1))</LHS><RHS>a__isNatIListKind(V1)</RHS></RULE><RULE><LHS>a__isNatKind(s(V1))</LHS><RHS>a__isNatKind(V1)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__and(a__isNatKind(V1),isNatIListKind(V2)),V1,V2)</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U61(a__and(a__and(a__isNatList(L),isNatIListKind(L)),
        and(isNat(N),isNatKind(N))),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U12(X))</LHS><RHS>a__U12(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(U31(X1,X2))</LHS><RHS>a__U31(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U32(X))</LHS><RHS>a__U32(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2,X3))</LHS><RHS>a__U41(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U42(X1,X2))</LHS><RHS>a__U42(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U43(X))</LHS><RHS>a__U43(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2,X3))</LHS><RHS>a__U51(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U52(X1,X2))</LHS><RHS>a__U52(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U53(X))</LHS><RHS>a__U53(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X1,X2))</LHS><RHS>a__U61(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNatIListKind(X))</LHS><RHS>a__isNatIListKind(X)</RHS></RULE><RULE><LHS>mark(isNatKind(X))</LHS><RHS>a__isNatKind(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__U12(X)</LHS><RHS>U12(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__U31(X1,X2)</LHS><RHS>U31(X1,X2)</RHS></RULE><RULE><LHS>a__U32(X)</LHS><RHS>U32(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2,X3)</LHS><RHS>U41(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U42(X1,X2)</LHS><RHS>U42(X1,X2)</RHS></RULE><RULE><LHS>a__U43(X)</LHS><RHS>U43(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2,X3)</LHS><RHS>U51(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U52(X1,X2)</LHS><RHS>U52(X1,X2)</RHS></RULE><RULE><LHS>a__U53(X)</LHS><RHS>U53(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2)</LHS><RHS>U61(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNatIListKind(X)</LHS><RHS>isNatIListKind(X)</RHS></RULE><RULE><LHS>a__isNatKind(X)</LHS><RHS>isNatKind(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNatKind(s(V1))</LHS><RHS>Marked_a__isNatKind(V1)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIListKind</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U12</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="2"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U43</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIListKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U53</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatKind</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U32</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U43</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROOF>
