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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="0" unmarked=""><NAME>nil</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__and"><NAME>Marked_a__and</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__U11</NAME></SYMBOL><SYMBOL arity="1" unmarked="mark"><NAME>Marked_mark</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNatList</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>and</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>a__zeros</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__isNatIList</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNatList"><NAME>Marked_a__isNatList</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a__length</NAME></SYMBOL><SYMBOL arity="2" unmarked="a__U11"><NAME>Marked_a__U11</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>a__and</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNat</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>0</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatIList</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNat"><NAME>Marked_a__isNat</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>mark</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="2" unmarked=""><NAME>U11</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>zeros</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>length</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__isNatIList"><NAME>Marked_a__isNatIList</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>s</NAME></SYMBOL><SYMBOL arity="1" unmarked="a__length"><NAME>Marked_a__length</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>tt</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNatList</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>cons</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>X2</VAR><VAR>X1</VAR><VAR>N</VAR><VAR>V2</VAR><VAR>V</VAR><VAR>V1</VAR><VAR>X</VAR><VAR>L</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,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(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,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__isNatList(L),isNat(N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__isNatList(L)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(zeros)</LHS><RHS>Marked_a__zeros</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="24"><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="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/><NODE ref="22"/><NODE ref="23"/><NODE ref="24"/></SCC><NONSCC num="1"><NODE ref="13"/></NONSCC></CCLIST><EDGE end="1" start="0"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__isNatList(L),isNat(N))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__isNatList(L)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(U11(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(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><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>tt</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>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><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__isNat</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>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U11</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__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>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNatIList(V)</LHS><RHS>Marked_a__isNatList(V)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__isNatList(L),isNat(N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__isNatList(L)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U11(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(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/><NODE ref="20"/><NODE ref="21"/></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,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__isNatList(L),isNat(N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__isNatList(L)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U11(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(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="21"><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>isNatList</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__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>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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__isNat</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>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U11</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__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_a__U11(mark(X1),X2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U11(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_a__length(mark(X))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(length(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_mark(L)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__and(a__isNatList(L),isNat(N))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__isNatList(L)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(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="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="17"/></SCC><NONSCC num="1"><NODE ref="10"/></NONSCC><NONSCC num="2"><NODE ref="9"/></NONSCC><SCC num="3"><NODE ref="0"/><NODE ref="8"/></SCC><NONSCC num="4"><NODE ref="1"/></NONSCC></CCLIST><EDGE end="0" start="1"/><EDGE end="0" start="2"/><EDGE end="4" start="3"/><EDGE end="2" start="3"/><EDGE end="1" start="3"/><EDGE end="0" start="4"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="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>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>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</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>nil</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__length(cons(N,L))</LHS><RHS>Marked_a__U11(a__and(a__isNatList(L),isNat(N)),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,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__U11(tt,L)</LHS><RHS>Marked_a__length(mark(L))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="0"/></NONSCC></CCLIST></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__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__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__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>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNat(length(V1))</LHS><RHS>Marked_a__isNatList(V1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(isNat(X))</LHS><RHS>Marked_a__isNat(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="2"/><NODE ref="3"/><NODE ref="5"/><NODE ref="6"/><NODE ref="8"/><NODE ref="9"/><NODE ref="10"/><NODE ref="11"/></SCC><NONSCC num="1"><NODE ref="7"/></NONSCC><NONSCC num="2"><NODE ref="4"/></NONSCC><SCC num="3"><NODE ref="1"/></SCC></CCLIST><EDGE end="2" start="0"/><EDGE end="1" start="0"/><EDGE end="3" start="1"/><EDGE end="3" 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,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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>isNatList</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>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>isNatIList</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>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(cons(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="7"><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"/></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,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</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>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNat</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__length</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNatIList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatIList(V2))</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,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(isNatIList(X))</LHS><RHS>Marked_a__isNatIList(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="6"/></SCC><NONSCC num="1"><NODE ref="5"/></NONSCC></CCLIST><EDGE end="1" start="0"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>tt</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>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>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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__length</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__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__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</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__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNatList(cons(V1,V2))</LHS><RHS>Marked_a__and(a__isNat(V1),isNatList(V2))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_a__and(mark(X1),X2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(isNatList(X))</LHS><RHS>Marked_a__isNatList(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,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><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"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(s(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a__zeros</LHS><RHS>cons(0,zeros)</RHS></RULE><RULE><LHS>a__U11(tt,L)</LHS><RHS>s(a__length(mark(L)))</RHS></RULE><RULE><LHS>a__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isNat(0)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNat(length(V1))</LHS><RHS>a__isNatList(V1)</RHS></RULE><RULE><LHS>a__isNat(s(V1))</LHS><RHS>a__isNat(V1)</RHS></RULE><RULE><LHS>a__isNatIList(V)</LHS><RHS>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__and(a__isNat(V1),isNatIList(V2))</RHS></RULE><RULE><LHS>a__isNatList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isNatList(cons(V1,V2))</LHS><RHS>a__and(a__isNat(V1),isNatList(V2))</RHS></RULE><RULE><LHS>a__length(nil)</LHS><RHS>0</RHS></RULE><RULE><LHS>a__length(cons(N,L))</LHS><RHS>a__U11(a__and(a__isNatList(L),isNat(N)),L)</RHS></RULE><RULE><LHS>mark(zeros)</LHS><RHS>a__zeros</RHS></RULE><RULE><LHS>mark(U11(X1,X2))</LHS><RHS>a__U11(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(length(X))</LHS><RHS>a__length(mark(X))</RHS></RULE><RULE><LHS>mark(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isNat(X))</LHS><RHS>a__isNat(X)</RHS></RULE><RULE><LHS>mark(isNatList(X))</LHS><RHS>a__isNatList(X)</RHS></RULE><RULE><LHS>mark(isNatIList(X))</LHS><RHS>a__isNatIList(X)</RHS></RULE><RULE><LHS>mark(cons(X1,X2))</LHS><RHS>cons(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(0)</LHS><RHS>0</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(s(X))</LHS><RHS>s(mark(X))</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>a__zeros</LHS><RHS>zeros</RHS></RULE><RULE><LHS>a__U11(X1,X2)</LHS><RHS>U11(X1,X2)</RHS></RULE><RULE><LHS>a__length(X)</LHS><RHS>length(X)</RHS></RULE><RULE><LHS>a__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isNat(X)</LHS><RHS>isNat(X)</RHS></RULE><RULE><LHS>a__isNatList(X)</LHS><RHS>isNatList(X)</RHS></RULE><RULE><LHS>a__isNatIList(X)</LHS><RHS>isNatIList(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNat(s(V1))</LHS><RHS>Marked_a__isNat(V1)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>tt</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>zeros</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>0</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNat</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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__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__isNatIList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__zeros</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNatList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</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>nil</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROOF>
