<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="3" unmarked=""><NAME>U61</NAME></SYMBOL><SYMBOL arity="0" unmarked="a__zeros"><NAME>Marked_a__zeros</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNat</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U21</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__U52"><NAME>Marked_a__U52</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U31</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatIList</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U41"><NAME>Marked_a__U41</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U52</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>mark</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNat"><NAME>Marked_a__isNat</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>a__zeros</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U52</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__U21"><NAME>Marked_a__U21</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U51</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>nil</NAME></SYMBOL><SYMBOL arity="3" unmarked="a__U61"><NAME>Marked_a__U61</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U11</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U41</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNatIList"><NAME>Marked_a__isNatIList</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNatIList</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>s</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNat</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>0</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatList</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__U11"><NAME>Marked_a__U11</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U62</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U11</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNatList"><NAME>Marked_a__isNatList</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U21</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U42</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__U42"><NAME>Marked_a__U42</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U41</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__length</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__length"><NAME>Marked_a__length</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>zeros</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U51</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__U31"><NAME>Marked_a__U31</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNatList</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>length</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U62"><NAME>Marked_a__U62</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>tt</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>U31</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U51"><NAME>Marked_a__U51</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__U42</NAME></SYMBOL><SYMBOL arity="1" unmarked="mark"><NAME>Marked_mark</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>a__U61</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>U62</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>cons</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>X</VAR><VAR>X3</VAR><VAR>X2</VAR><VAR>X1</VAR><VAR>V</VAR><VAR>V1</VAR><VAR>N</VAR><VAR>L</VAR><VAR>V2</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS></SYSTEM><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)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U41(tt,V2)</LHS><RHS>Marked_a__U42(a__isNatIList(V2))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U41(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U51(tt,V2)</LHS><RHS>Marked_a__U52(a__isNatList(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U51(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__U62(a__isNat(N),L)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__isNat(N)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__U11(a__isNatList(V1))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__U21(a__isNat(V1))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__U31(a__isNatList(V))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__isNatList(L),L,N)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__isNatList(L)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(zeros)</LHS><RHS>Marked_a__zeros</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_a__U11(mark(X))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_a__U21(mark(X))</RHS></DPRULE><DPRULE num="24"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_mark(U31(X))</LHS><RHS>Marked_a__U31(mark(X))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_mark(U31(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_mark(U41(X1,X2))</LHS><RHS>Marked_a__U41(mark(X1),X2)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_mark(U41(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_a__U42(mark(X))</RHS></DPRULE><DPRULE num="30"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_a__U51(mark(X1),X2)</RHS></DPRULE><DPRULE num="33"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="34"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_a__U52(mark(X))</RHS></DPRULE><DPRULE num="35"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="36"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="37"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_a__U61(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="38"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="39"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_a__U62(mark(X1),X2)</RHS></DPRULE><DPRULE num="40"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="41"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="42"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="43"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="44"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</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="4"/><NODE ref="6"/><NODE ref="7"/><NODE ref="18"/><NODE ref="22"/><NODE ref="24"/><NODE ref="26"/><NODE ref="28"/><NODE ref="30"/><NODE ref="33"/><NODE ref="35"/><NODE ref="37"/><NODE ref="38"/><NODE ref="39"/><NODE ref="40"/><NODE ref="42"/><NODE ref="43"/><NODE ref="44"/><NODE ref="45"/></SCC><NONSCC num="1"><NODE ref="41"/></NONSCC><NONSCC num="2"><NODE ref="36"/></NONSCC><NONSCC num="3"><NODE ref="34"/></NONSCC><NONSCC num="4"><NODE ref="32"/></NONSCC><NONSCC num="5"><NODE ref="31"/></NONSCC><NONSCC num="6"><NODE ref="29"/></NONSCC><NONSCC num="7"><NODE ref="27"/></NONSCC><NONSCC num="8"><NODE ref="25"/></NONSCC><NONSCC num="9"><NODE ref="23"/></NONSCC><NONSCC num="10"><NODE ref="21"/></NONSCC><NONSCC num="11"><NODE ref="20"/></NONSCC><NONSCC num="12"><NODE ref="19"/></NONSCC><SCC num="13"><NODE ref="3"/><NODE ref="9"/><NODE ref="11"/><NODE ref="16"/><NODE ref="17"/></SCC><NONSCC num="14"><NODE ref="10"/></NONSCC><NONSCC num="15"><NODE ref="8"/></NONSCC><NONSCC num="16"><NODE ref="5"/></NONSCC><NONSCC num="17"><NODE ref="2"/></NONSCC><NONSCC num="18"><NODE ref="15"/></NONSCC><SCC num="19"><NODE ref="1"/><NODE ref="14"/></SCC><NONSCC num="20"><NODE ref="13"/></NONSCC><NONSCC num="21"><NODE ref="12"/></NONSCC><NONSCC num="22"><NODE ref="0"/></NONSCC></CCLIST><EDGE end="16" start="0"/><EDGE end="12" start="0"/><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"/><EDGE end="15" start="1"/><EDGE end="14" start="1"/><EDGE end="13" start="1"/><EDGE end="13" start="2"/><EDGE end="17" start="4"/><EDGE end="13" start="4"/><EDGE end="21" start="5"/><EDGE end="20" start="5"/><EDGE end="19" start="5"/><EDGE end="18" start="5"/><EDGE end="22" start="7"/><EDGE end="19" start="7"/><EDGE end="13" start="12"/><EDGE end="17" start="13"/><EDGE end="15" start="13"/><EDGE end="14" start="13"/><EDGE end="15" start="16"/><EDGE end="14" start="16"/><EDGE end="13" start="16"/><EDGE end="15" start="18"/><EDGE end="14" start="18"/><EDGE end="13" start="18"/><EDGE end="22" start="19"/><EDGE end="21" start="19"/><EDGE end="20" start="19"/><EDGE end="18" start="19"/><EDGE end="13" start="20"/></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)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__U62(a__isNat(N),L)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__isNatList(L),L,N)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U31(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U41(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_a__U61(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_a__U62(mark(X1),X2)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</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><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>U62</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__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>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>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>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>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U62</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>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__isNatList</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><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>Marked_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__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__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><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>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__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>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__U62</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>isNatList</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>isNat</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__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>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><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__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>Marked_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>nil</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>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>a__zeros</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__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>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__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>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>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U41(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)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__U62(a__isNat(N),L)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__isNatList(L),L,N)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U31(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_a__U61(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_a__U62(mark(X1),X2)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><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"/></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)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__U62(a__isNat(N),L)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__isNatList(L),L,N)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U31(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_a__U61(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_a__U62(mark(X1),X2)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><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>U62</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__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>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_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__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>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="0"/></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>Marked_a__U62</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>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__isNatList</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><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>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__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__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>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__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>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__U62</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>isNatList</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>isNat</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__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>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__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>Marked_a__U61</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><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>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>a__zeros</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__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>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__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="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><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>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></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U31(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)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__U62(a__isNat(N),L)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__isNatList(L),L,N)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_a__U61(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_a__U62(mark(X1),X2)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><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"/></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)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__U62(a__isNat(N),L)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__isNatList(L),L,N)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_a__U61(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_a__U62(mark(X1),X2)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><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>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>U62</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>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="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>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>a__U42</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><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>Marked_a__U62</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>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>a__isNatList</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><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>Marked_a__length</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><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__U41</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><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>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__U62</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>isNatList</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>isNat</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__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</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>Marked_a__U61</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><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>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>a__zeros</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__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>isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</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>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></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="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></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_a__U61(mark(X1),X2,X3)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U61(X1,X2,X3))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_a__U62(mark(X1),X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U62(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="5"><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)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__U62(a__isNat(N),L)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__isNatList(L),L,N)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><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="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/></SCC><SCC num="1"><NODE ref="0"/><NODE ref="1"/><NODE ref="3"/></SCC><NONSCC num="2"><NODE ref="2"/></NONSCC></CCLIST><EDGE end="2" start="1"/><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)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__U62(a__isNat(N),L)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U62(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__isNatList(L),L,N)</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="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U62</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__U61</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__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>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>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>Marked_a__U62</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>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__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>U51</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>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__length</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><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>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__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>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__U62</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>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>0</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>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>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__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>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__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>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>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><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="1"/></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>a__zeros</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__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>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__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>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>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>U61</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></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__U61(tt,L,N)</LHS><RHS>Marked_a__U62(a__isNat(N),L)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U62(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)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U61(a__isNatList(L),L,N)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="0"/></NONSCC></CCLIST></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U21(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U41(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__isNat(V1),V2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><INT>1</INT></PROJ><PROJ><SYMBOL><NAME>Marked_a__U41</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__U41(a__isNat(V1),V2)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U41(tt,V2)</LHS><RHS>Marked_a__isNatIList(V2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="0"/></NONSCC></CCLIST></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U51(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><INT>1</INT></PROJ><PROJ><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><INT>1</INT></PROJ><PROJ><SYMBOL><NAME>Marked_a__U51</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__U51(a__isNat(V1),V2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNatIList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isNatList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt,L,N)</LHS><RHS>a__U62(a__isNat(N),L)</RHS></RULE><RULE><LHS>a__U62(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__U11(a__isNatList(V1))</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__U21(a__isNat(V1))</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>a__U31(a__isNatList(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__isNat(V1),V2)</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__U51(a__isNat(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__isNatList(L),L,N)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X))</LHS><RHS>a__U21(mark(X))</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(U61(X1,X2,X3))</LHS><RHS>a__U61(mark(X1),X2,X3)</RHS></RULE><RULE><LHS>mark(U62(X1,X2))</LHS><RHS>a__U62(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(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(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X)</LHS><RHS>U21(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__U61(X1,X2,X3)</LHS><RHS>U61(X1,X2,X3)</RHS></RULE><RULE><LHS>a__U62(X1,X2)</LHS><RHS>U62(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U51(tt,V2)</LHS><RHS>Marked_a__isNatList(V2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="0"/></NONSCC></CCLIST></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROOF>
