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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
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type="poly"><POLYSYMB><SYMBOL><NAME>a____</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>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>U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U72</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isPal</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>i</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>U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isQid</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>__</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>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>isNeList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U71</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isQid</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>u</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U71</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>U42</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isPal</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U81</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>o</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</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__isNePal</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a____</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><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>U51</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U81</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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__isNeList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNePal</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U11</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U72</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>e</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a____(__(X,Y),Z)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a____(__(X,Y),Z)</LHS><RHS>Marked_a____(mark(Y),mark(Z))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a____(__(X,Y),Z)</LHS><RHS>Marked_mark(Y)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a____(__(X,Y),Z)</LHS><RHS>Marked_mark(Z)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a____(X,nil)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a____(nil,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(__(X1,X2))</LHS><RHS>Marked_a____(mark(X1),mark(X2))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(__(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(__(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a____(__(X,Y),Z)</LHS><RHS>a____(mark(X),a____(mark(Y),mark(Z)))</RHS></RULE><RULE><LHS>a____(X,nil)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a____(nil,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V2)</LHS><RHS>a__U22(a__isList(V2))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNeList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U71(tt,P)</LHS><RHS>a__U72(a__isPal(P))</RHS></RULE><RULE><LHS>a__U72(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U81(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isList(V)</LHS><RHS>a__U11(a__isNeList(V))</RHS></RULE><RULE><LHS>a__isList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isList(__(V1,V2))</LHS><RHS>a__U21(a__isList(V1),V2)</RHS></RULE><RULE><LHS>a__isNeList(V)</LHS><RHS>a__U31(a__isQid(V))</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__U41(a__isList(V1),V2)</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__U51(a__isNeList(V1),V2)</RHS></RULE><RULE><LHS>a__isNePal(V)</LHS><RHS>a__U61(a__isQid(V))</RHS></RULE><RULE><LHS>a__isNePal(__(I,__(P,I)))</LHS><RHS>a__U71(a__isQid(I),P)</RHS></RULE><RULE><LHS>a__isPal(V)</LHS><RHS>a__U81(a__isNePal(V))</RHS></RULE><RULE><LHS>a__isPal(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(a)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(e)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(i)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(o)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(u)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(__(X1,X2))</LHS><RHS>a____(mark(X1),mark(X2))</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isList(X))</LHS><RHS>a__isList(X)</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNeList(X))</LHS><RHS>a__isNeList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X))</LHS><RHS>a__U61(mark(X))</RHS></RULE><RULE><LHS>mark(U71(X1,X2))</LHS><RHS>a__U71(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U72(X))</LHS><RHS>a__U72(mark(X))</RHS></RULE><RULE><LHS>mark(isPal(X))</LHS><RHS>a__isPal(X)</RHS></RULE><RULE><LHS>mark(U81(X))</LHS><RHS>a__U81(mark(X))</RHS></RULE><RULE><LHS>mark(isQid(X))</LHS><RHS>a__isQid(X)</RHS></RULE><RULE><LHS>mark(isNePal(X))</LHS><RHS>a__isNePal(X)</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(a)</LHS><RHS>a</RHS></RULE><RULE><LHS>mark(e)</LHS><RHS>e</RHS></RULE><RULE><LHS>mark(i)</LHS><RHS>i</RHS></RULE><RULE><LHS>mark(o)</LHS><RHS>o</RHS></RULE><RULE><LHS>mark(u)</LHS><RHS>u</RHS></RULE><RULE><LHS>a____(X1,X2)</LHS><RHS>__(X1,X2)</RHS></RULE><RULE><LHS>a__U11(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isList(X)</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNeList(X)</LHS><RHS>isNeList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__U61(X)</LHS><RHS>U61(X)</RHS></RULE><RULE><LHS>a__U71(X1,X2)</LHS><RHS>U71(X1,X2)</RHS></RULE><RULE><LHS>a__U72(X)</LHS><RHS>U72(X)</RHS></RULE><RULE><LHS>a__isPal(X)</LHS><RHS>isPal(X)</RHS></RULE><RULE><LHS>a__U81(X)</LHS><RHS>U81(X)</RHS></RULE><RULE><LHS>a__isQid(X)</LHS><RHS>isQid(X)</RHS></RULE><RULE><LHS>a__isNePal(X)</LHS><RHS>isNePal(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a____(__(X,Y),Z)</LHS><RHS>Marked_a____(mark(X),a____(mark(Y),mark(Z)))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U31(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U41(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U61(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U71(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U72(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(U81(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="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"/></SCC><SCC num="1"><NODE ref="0"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a____(__(X,Y),Z)</LHS><RHS>a____(mark(X),a____(mark(Y),mark(Z)))</RHS></RULE><RULE><LHS>a____(X,nil)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a____(nil,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V2)</LHS><RHS>a__U22(a__isList(V2))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNeList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U71(tt,P)</LHS><RHS>a__U72(a__isPal(P))</RHS></RULE><RULE><LHS>a__U72(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U81(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isList(V)</LHS><RHS>a__U11(a__isNeList(V))</RHS></RULE><RULE><LHS>a__isList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isList(__(V1,V2))</LHS><RHS>a__U21(a__isList(V1),V2)</RHS></RULE><RULE><LHS>a__isNeList(V)</LHS><RHS>a__U31(a__isQid(V))</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__U41(a__isList(V1),V2)</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__U51(a__isNeList(V1),V2)</RHS></RULE><RULE><LHS>a__isNePal(V)</LHS><RHS>a__U61(a__isQid(V))</RHS></RULE><RULE><LHS>a__isNePal(__(I,__(P,I)))</LHS><RHS>a__U71(a__isQid(I),P)</RHS></RULE><RULE><LHS>a__isPal(V)</LHS><RHS>a__U81(a__isNePal(V))</RHS></RULE><RULE><LHS>a__isPal(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(a)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(e)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(i)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(o)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(u)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(__(X1,X2))</LHS><RHS>a____(mark(X1),mark(X2))</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isList(X))</LHS><RHS>a__isList(X)</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNeList(X))</LHS><RHS>a__isNeList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X))</LHS><RHS>a__U61(mark(X))</RHS></RULE><RULE><LHS>mark(U71(X1,X2))</LHS><RHS>a__U71(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U72(X))</LHS><RHS>a__U72(mark(X))</RHS></RULE><RULE><LHS>mark(isPal(X))</LHS><RHS>a__isPal(X)</RHS></RULE><RULE><LHS>mark(U81(X))</LHS><RHS>a__U81(mark(X))</RHS></RULE><RULE><LHS>mark(isQid(X))</LHS><RHS>a__isQid(X)</RHS></RULE><RULE><LHS>mark(isNePal(X))</LHS><RHS>a__isNePal(X)</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(a)</LHS><RHS>a</RHS></RULE><RULE><LHS>mark(e)</LHS><RHS>e</RHS></RULE><RULE><LHS>mark(i)</LHS><RHS>i</RHS></RULE><RULE><LHS>mark(o)</LHS><RHS>o</RHS></RULE><RULE><LHS>mark(u)</LHS><RHS>u</RHS></RULE><RULE><LHS>a____(X1,X2)</LHS><RHS>__(X1,X2)</RHS></RULE><RULE><LHS>a__U11(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isList(X)</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNeList(X)</LHS><RHS>isNeList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__U61(X)</LHS><RHS>U61(X)</RHS></RULE><RULE><LHS>a__U71(X1,X2)</LHS><RHS>U71(X1,X2)</RHS></RULE><RULE><LHS>a__U72(X)</LHS><RHS>U72(X)</RHS></RULE><RULE><LHS>a__isPal(X)</LHS><RHS>isPal(X)</RHS></RULE><RULE><LHS>a__U81(X)</LHS><RHS>U81(X)</RHS></RULE><RULE><LHS>a__isQid(X)</LHS><RHS>isQid(X)</RHS></RULE><RULE><LHS>a__isNePal(X)</LHS><RHS>isNePal(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_a____(__(X,Y),Z)</LHS><RHS>Marked_a____(mark(X),a____(mark(Y),mark(Z)))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>a____</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U72</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isPal</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>i</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>U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isQid</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U41</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U21</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>__</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNeList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U71</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isQid</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>u</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U71</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isList</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>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>U42</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isPal</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U81</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>o</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U11</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNePal</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U52</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U22</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a____</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U51</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U81</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNeList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNePal</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__isList</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>U72</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>e</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__U61</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>U31</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>a____(__(X,Y),Z)</LHS><RHS>a____(mark(X),a____(mark(Y),mark(Z)))</RHS></RULE><RULE><LHS>a____(X,nil)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a____(nil,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__U11(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U21(tt,V2)</LHS><RHS>a__U22(a__isList(V2))</RHS></RULE><RULE><LHS>a__U22(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U31(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U41(tt,V2)</LHS><RHS>a__U42(a__isNeList(V2))</RHS></RULE><RULE><LHS>a__U42(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U51(tt,V2)</LHS><RHS>a__U52(a__isList(V2))</RHS></RULE><RULE><LHS>a__U52(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U61(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U71(tt,P)</LHS><RHS>a__U72(a__isPal(P))</RHS></RULE><RULE><LHS>a__U72(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__U81(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isList(V)</LHS><RHS>a__U11(a__isNeList(V))</RHS></RULE><RULE><LHS>a__isList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isList(__(V1,V2))</LHS><RHS>a__U21(a__isList(V1),V2)</RHS></RULE><RULE><LHS>a__isNeList(V)</LHS><RHS>a__U31(a__isQid(V))</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__U41(a__isList(V1),V2)</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__U51(a__isNeList(V1),V2)</RHS></RULE><RULE><LHS>a__isNePal(V)</LHS><RHS>a__U61(a__isQid(V))</RHS></RULE><RULE><LHS>a__isNePal(__(I,__(P,I)))</LHS><RHS>a__U71(a__isQid(I),P)</RHS></RULE><RULE><LHS>a__isPal(V)</LHS><RHS>a__U81(a__isNePal(V))</RHS></RULE><RULE><LHS>a__isPal(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(a)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(e)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(i)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(o)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isQid(u)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(__(X1,X2))</LHS><RHS>a____(mark(X1),mark(X2))</RHS></RULE><RULE><LHS>mark(U11(X))</LHS><RHS>a__U11(mark(X))</RHS></RULE><RULE><LHS>mark(U21(X1,X2))</LHS><RHS>a__U21(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U22(X))</LHS><RHS>a__U22(mark(X))</RHS></RULE><RULE><LHS>mark(isList(X))</LHS><RHS>a__isList(X)</RHS></RULE><RULE><LHS>mark(U31(X))</LHS><RHS>a__U31(mark(X))</RHS></RULE><RULE><LHS>mark(U41(X1,X2))</LHS><RHS>a__U41(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U42(X))</LHS><RHS>a__U42(mark(X))</RHS></RULE><RULE><LHS>mark(isNeList(X))</LHS><RHS>a__isNeList(X)</RHS></RULE><RULE><LHS>mark(U51(X1,X2))</LHS><RHS>a__U51(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U52(X))</LHS><RHS>a__U52(mark(X))</RHS></RULE><RULE><LHS>mark(U61(X))</LHS><RHS>a__U61(mark(X))</RHS></RULE><RULE><LHS>mark(U71(X1,X2))</LHS><RHS>a__U71(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(U72(X))</LHS><RHS>a__U72(mark(X))</RHS></RULE><RULE><LHS>mark(isPal(X))</LHS><RHS>a__isPal(X)</RHS></RULE><RULE><LHS>mark(U81(X))</LHS><RHS>a__U81(mark(X))</RHS></RULE><RULE><LHS>mark(isQid(X))</LHS><RHS>a__isQid(X)</RHS></RULE><RULE><LHS>mark(isNePal(X))</LHS><RHS>a__isNePal(X)</RHS></RULE><RULE><LHS>mark(nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>mark(tt)</LHS><RHS>tt</RHS></RULE><RULE><LHS>mark(a)</LHS><RHS>a</RHS></RULE><RULE><LHS>mark(e)</LHS><RHS>e</RHS></RULE><RULE><LHS>mark(i)</LHS><RHS>i</RHS></RULE><RULE><LHS>mark(o)</LHS><RHS>o</RHS></RULE><RULE><LHS>mark(u)</LHS><RHS>u</RHS></RULE><RULE><LHS>a____(X1,X2)</LHS><RHS>__(X1,X2)</RHS></RULE><RULE><LHS>a__U11(X)</LHS><RHS>U11(X)</RHS></RULE><RULE><LHS>a__U21(X1,X2)</LHS><RHS>U21(X1,X2)</RHS></RULE><RULE><LHS>a__U22(X)</LHS><RHS>U22(X)</RHS></RULE><RULE><LHS>a__isList(X)</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>a__U31(X)</LHS><RHS>U31(X)</RHS></RULE><RULE><LHS>a__U41(X1,X2)</LHS><RHS>U41(X1,X2)</RHS></RULE><RULE><LHS>a__U42(X)</LHS><RHS>U42(X)</RHS></RULE><RULE><LHS>a__isNeList(X)</LHS><RHS>isNeList(X)</RHS></RULE><RULE><LHS>a__U51(X1,X2)</LHS><RHS>U51(X1,X2)</RHS></RULE><RULE><LHS>a__U52(X)</LHS><RHS>U52(X)</RHS></RULE><RULE><LHS>a__U61(X)</LHS><RHS>U61(X)</RHS></RULE><RULE><LHS>a__U71(X1,X2)</LHS><RHS>U71(X1,X2)</RHS></RULE><RULE><LHS>a__U72(X)</LHS><RHS>U72(X)</RHS></RULE><RULE><LHS>a__isPal(X)</LHS><RHS>isPal(X)</RHS></RULE><RULE><LHS>a__U81(X)</LHS><RHS>U81(X)</RHS></RULE><RULE><LHS>a__isQid(X)</LHS><RHS>isQid(X)</RHS></RULE><RULE><LHS>a__isNePal(X)</LHS><RHS>isNePal(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U31(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U41(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U61(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U71(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U72(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U81(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_mark(U81(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_mark(U72(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_mark(U71(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_mark(U61(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_mark(U52(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_mark(U51(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_mark(U42(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(U41(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_mark(U31(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_mark(U22(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_mark(U21(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_mark(U11(X))</LHS><RHS>Marked_mark(X)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" 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approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" 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num="0"><LHS>Marked_a__U21(tt,V2)</LHS><RHS>Marked_a__isList(V2)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U41(tt,V2)</LHS><RHS>Marked_a__isNeList(V2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U51(tt,V2)</LHS><RHS>Marked_a__isList(V2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isList(V)</LHS><RHS>Marked_a__isNeList(V)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isList(__(V1,V2))</LHS><RHS>Marked_a__U21(a__isList(V1),V2)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__isList(__(V1,V2))</LHS><RHS>Marked_a__isList(V1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__U41(a__isList(V1),V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__isList(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__U51(a__isNeList(V1),V2)</RHS></DPRULE><DPRULE 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num="0"><LHS>Marked_a__isList(V)</LHS><RHS>Marked_a__isNeList(V)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__U51(tt,V2)</LHS><RHS>Marked_a__isList(V2)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__U41(tt,V2)</LHS><RHS>Marked_a__isNeList(V2)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__U21(tt,V2)</LHS><RHS>Marked_a__isList(V2)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="3"/></NONSCC><NONSCC num="1"><NODE ref="0"/></NONSCC><NONSCC num="2"><NODE ref="2"/></NONSCC><NONSCC num="3"><NODE ref="1"/></NONSCC></CCLIST><EDGE end="1" start="0"/><EDGE end="1" start="3"/></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" 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num="0"><LHS>Marked_a__U71(tt,P)</LHS><RHS>Marked_a__isPal(P)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNePal(__(I,__(P,I)))</LHS><RHS>Marked_a__U71(a__isQid(I),P)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isPal(V)</LHS><RHS>Marked_a__isNePal(V)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_a__isNePal</NAME></SYMBOL><INT>1</INT></PROJ><PROJ><SYMBOL><NAME>Marked_a__isPal</NAME></SYMBOL><INT>1</INT></PROJ><PROJ><SYMBOL><NAME>Marked_a__U71</NAME></SYMBOL><INT>2</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNePal(__(I,__(P,I)))</LHS><RHS>Marked_a__U71(a__isQid(I),P)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" 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