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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
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num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>i</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>isList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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>isQid</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>__</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>u</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>isNeList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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__isList</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__isNeList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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__isPal</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</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>o</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__isQid</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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__isNeList</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><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>isNePal</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_mark</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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__isNePal</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="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__isList</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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__isNePal</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><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____(X,nil)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a____(nil,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isList(__(V1,V2))</LHS><RHS>Marked_a__and(a__isList(V1),isList(V2))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__and(a__isList(V1),isNeList(V2))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__and(a__isNeList(V1),isList(V2))</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(isNePal(X))</LHS><RHS>Marked_a__isNePal(X)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_mark(isPal(X))</LHS><RHS>Marked_a__isPal(X)</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__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isList(V)</LHS><RHS>a__isNeList(V)</RHS></RULE><RULE><LHS>a__isList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isList(__(V1,V2))</LHS><RHS>a__and(a__isList(V1),isList(V2))</RHS></RULE><RULE><LHS>a__isNeList(V)</LHS><RHS>a__isQid(V)</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__and(a__isList(V1),isNeList(V2))</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__and(a__isNeList(V1),isList(V2))</RHS></RULE><RULE><LHS>a__isNePal(V)</LHS><RHS>a__isQid(V)</RHS></RULE><RULE><LHS>a__isNePal(__(I,__(P,I)))</LHS><RHS>a__and(a__isQid(I),isPal(P))</RHS></RULE><RULE><LHS>a__isPal(V)</LHS><RHS>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(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isList(X))</LHS><RHS>a__isList(X)</RHS></RULE><RULE><LHS>mark(isNeList(X))</LHS><RHS>a__isNeList(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(isPal(X))</LHS><RHS>a__isPal(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__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isList(X)</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>a__isNeList(X)</LHS><RHS>isNeList(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><RULE><LHS>a__isPal(X)</LHS><RHS>isPal(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_a____(__(X,Y),Z)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a____(__(X,Y),Z)</LHS><RHS>Marked_a____(mark(Y),mark(Z))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a____(__(X,Y),Z)</LHS><RHS>Marked_mark(Y)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_a____(__(X,Y),Z)</LHS><RHS>Marked_mark(Z)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_a__and(tt,X)</LHS><RHS>Marked_mark(X)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_a__isList(V)</LHS><RHS>Marked_a__isNeList(V)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_a__isList(__(V1,V2))</LHS><RHS>Marked_a__isList(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__isList(V1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__isNeList(V1)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_a__isNePal(__(I,__(P,I)))</LHS><RHS>Marked_a__and(a__isQid(I),isPal(P))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_a__isPal(V)</LHS><RHS>Marked_a__isNePal(V)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_mark(__(X1,X2))</LHS><RHS>Marked_a____(mark(X1),mark(X2))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_mark(__(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_mark(__(X1,X2))</LHS><RHS>Marked_mark(X2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_mark(isList(X))</LHS><RHS>Marked_a__isList(X)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_mark(isNeList(X))</LHS><RHS>Marked_a__isNeList(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="17"/></NONSCC><SCC num="1"><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/></SCC><NONSCC num="2"><NODE ref="16"/></NONSCC><SCC num="3"><NODE ref="0"/><NODE 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num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>i</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isList</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></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>isPal</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>__</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>u</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isNeList</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>a</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>o</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>tt</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>a__isPal</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isNePal</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>a__isList</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></ORDERING></CRITERION></PROPERTY><PROPERTY criterion="sterm" 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num="0"><LHS>Marked_mark(and(X1,X2))</LHS><RHS>Marked_mark(X1)</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(and(X1,X2))</LHS><RHS>Marked_mark(X1)</RHS></DPRULE></DPLIST></STRICTPAIRS><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__and(tt,X)</LHS><RHS>mark(X)</RHS></RULE><RULE><LHS>a__isList(V)</LHS><RHS>a__isNeList(V)</RHS></RULE><RULE><LHS>a__isList(nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>a__isList(__(V1,V2))</LHS><RHS>a__and(a__isList(V1),isList(V2))</RHS></RULE><RULE><LHS>a__isNeList(V)</LHS><RHS>a__isQid(V)</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__and(a__isList(V1),isNeList(V2))</RHS></RULE><RULE><LHS>a__isNeList(__(V1,V2))</LHS><RHS>a__and(a__isNeList(V1),isList(V2))</RHS></RULE><RULE><LHS>a__isNePal(V)</LHS><RHS>a__isQid(V)</RHS></RULE><RULE><LHS>a__isNePal(__(I,__(P,I)))</LHS><RHS>a__and(a__isQid(I),isPal(P))</RHS></RULE><RULE><LHS>a__isPal(V)</LHS><RHS>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(and(X1,X2))</LHS><RHS>a__and(mark(X1),X2)</RHS></RULE><RULE><LHS>mark(isList(X))</LHS><RHS>a__isList(X)</RHS></RULE><RULE><LHS>mark(isNeList(X))</LHS><RHS>a__isNeList(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(isPal(X))</LHS><RHS>a__isPal(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__and(X1,X2)</LHS><RHS>and(X1,X2)</RHS></RULE><RULE><LHS>a__isList(X)</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>a__isNeList(X)</LHS><RHS>isNeList(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><RULE><LHS>a__isPal(X)</LHS><RHS>isPal(X)</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" 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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__isList(__(V1,V2))</LHS><RHS>Marked_a__isList(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__isList(V1)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__isNeList(V1)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_a__isNeList</NAME></SYMBOL><INT>1</INT></PROJ><PROJ><SYMBOL><NAME>Marked_a__isList</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__isNeList(V1)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_a__isNeList(__(V1,V2))</LHS><RHS>Marked_a__isList(V1)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_a__isList(__(V1,V2))</LHS><RHS>Marked_a__isList(V1)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" 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