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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="1" unmarked="isPal"><NAME>Marked_isPal</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>n__a</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>o</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>n__nil</NAME></SYMBOL><SYMBOL arity="0" unmarked="o"><NAME>Marked_o</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>n__isNeList</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>n__u</NAME></SYMBOL><SYMBOL arity="0" unmarked="nil"><NAME>Marked_nil</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>and</NAME></SYMBOL><SYMBOL arity="0" unmarked="e"><NAME>Marked_e</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>n__isPal</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>e</NAME></SYMBOL><SYMBOL arity="1" unmarked="isNePal"><NAME>Marked_isNePal</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNeList</NAME></SYMBOL><SYMBOL arity="1" unmarked="activate"><NAME>Marked_activate</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>n____</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>n__i</NAME></SYMBOL><SYMBOL arity="1" unmarked="isList"><NAME>Marked_isList</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>nil</NAME></SYMBOL><SYMBOL arity="0" unmarked="a"><NAME>Marked_a</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isPal</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>i</NAME></SYMBOL><SYMBOL arity="2" unmarked="and"><NAME>Marked_and</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isList</NAME></SYMBOL><SYMBOL arity="0" unmarked="u"><NAME>Marked_u</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isQid</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>n__o</NAME></SYMBOL><SYMBOL arity="2" unmarked="__"><NAME>Marked___</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>activate</NAME></SYMBOL><SYMBOL arity="0" unmarked="i"><NAME>Marked_i</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>isNePal</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>a</NAME></SYMBOL><SYMBOL arity="1" unmarked="isQid"><NAME>Marked_isQid</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>tt</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>u</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>n__isList</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>n__e</NAME></SYMBOL><SYMBOL arity="1" unmarked="isNeList"><NAME>Marked_isNeList</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>__</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>X2</VAR><VAR>X1</VAR><VAR>P</VAR><VAR>I</VAR><VAR>V2</VAR><VAR>V1</VAR><VAR>V</VAR><VAR>Z</VAR><VAR>Y</VAR><VAR>X</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>__(__(X,Y),Z)</LHS><RHS>__(X,__(Y,Z))</RHS></RULE><RULE><LHS>__(X,nil)</LHS><RHS>X</RHS></RULE><RULE><LHS>__(nil,X)</LHS><RHS>X</RHS></RULE><RULE><LHS>and(tt,X)</LHS><RHS>activate(X)</RHS></RULE><RULE><LHS>isList(V)</LHS><RHS>isNeList(activate(V))</RHS></RULE><RULE><LHS>isList(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isNeList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isNeList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNePal(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNePal(n____(I,__(P,I)))</LHS><RHS>and(isQid(activate(I)),n__isPal(activate(P)))</RHS></RULE><RULE><LHS>isPal(V)</LHS><RHS>isNePal(activate(V))</RHS></RULE><RULE><LHS>isPal(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__a)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__e)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__i)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__o)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__u)</LHS><RHS>tt</RHS></RULE><RULE><LHS>nil</LHS><RHS>n__nil</RHS></RULE><RULE><LHS>__(X1,X2)</LHS><RHS>n____(X1,X2)</RHS></RULE><RULE><LHS>isList(X)</LHS><RHS>n__isList(X)</RHS></RULE><RULE><LHS>isNeList(X)</LHS><RHS>n__isNeList(X)</RHS></RULE><RULE><LHS>isPal(X)</LHS><RHS>n__isPal(X)</RHS></RULE><RULE><LHS>a</LHS><RHS>n__a</RHS></RULE><RULE><LHS>e</LHS><RHS>n__e</RHS></RULE><RULE><LHS>i</LHS><RHS>n__i</RHS></RULE><RULE><LHS>o</LHS><RHS>n__o</RHS></RULE><RULE><LHS>u</LHS><RHS>n__u</RHS></RULE><RULE><LHS>activate(n__nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>activate(n____(X1,X2))</LHS><RHS>__(X1,X2)</RHS></RULE><RULE><LHS>activate(n__isList(X))</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>activate(n__isNeList(X))</LHS><RHS>isNeList(X)</RHS></RULE><RULE><LHS>activate(n__isPal(X))</LHS><RHS>isPal(X)</RHS></RULE><RULE><LHS>activate(n__a)</LHS><RHS>a</RHS></RULE><RULE><LHS>activate(n__e)</LHS><RHS>e</RHS></RULE><RULE><LHS>activate(n__i)</LHS><RHS>i</RHS></RULE><RULE><LHS>activate(n__o)</LHS><RHS>o</RHS></RULE><RULE><LHS>activate(n__u)</LHS><RHS>u</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>__(__(X,Y),Z)</LHS><RHS>__(X,__(Y,Z))</RHS></RULE><RULE><LHS>__(X,nil)</LHS><RHS>X</RHS></RULE><RULE><LHS>__(nil,X)</LHS><RHS>X</RHS></RULE><RULE><LHS>and(tt,X)</LHS><RHS>activate(X)</RHS></RULE><RULE><LHS>isList(V)</LHS><RHS>isNeList(activate(V))</RHS></RULE><RULE><LHS>isList(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isNeList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isNeList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNePal(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNePal(n____(I,__(P,I)))</LHS><RHS>and(isQid(activate(I)),n__isPal(activate(P)))</RHS></RULE><RULE><LHS>isPal(V)</LHS><RHS>isNePal(activate(V))</RHS></RULE><RULE><LHS>isPal(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__a)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__e)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__i)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__o)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__u)</LHS><RHS>tt</RHS></RULE><RULE><LHS>nil</LHS><RHS>n__nil</RHS></RULE><RULE><LHS>__(X1,X2)</LHS><RHS>n____(X1,X2)</RHS></RULE><RULE><LHS>isList(X)</LHS><RHS>n__isList(X)</RHS></RULE><RULE><LHS>isNeList(X)</LHS><RHS>n__isNeList(X)</RHS></RULE><RULE><LHS>isPal(X)</LHS><RHS>n__isPal(X)</RHS></RULE><RULE><LHS>a</LHS><RHS>n__a</RHS></RULE><RULE><LHS>e</LHS><RHS>n__e</RHS></RULE><RULE><LHS>i</LHS><RHS>n__i</RHS></RULE><RULE><LHS>o</LHS><RHS>n__o</RHS></RULE><RULE><LHS>u</LHS><RHS>n__u</RHS></RULE><RULE><LHS>activate(n__nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>activate(n____(X1,X2))</LHS><RHS>__(X1,X2)</RHS></RULE><RULE><LHS>activate(n__isList(X))</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>activate(n__isNeList(X))</LHS><RHS>isNeList(X)</RHS></RULE><RULE><LHS>activate(n__isPal(X))</LHS><RHS>isPal(X)</RHS></RULE><RULE><LHS>activate(n__a)</LHS><RHS>a</RHS></RULE><RULE><LHS>activate(n__e)</LHS><RHS>e</RHS></RULE><RULE><LHS>activate(n__i)</LHS><RHS>i</RHS></RULE><RULE><LHS>activate(n__o)</LHS><RHS>o</RHS></RULE><RULE><LHS>activate(n__u)</LHS><RHS>u</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked___(__(X,Y),Z)</LHS><RHS>Marked___(X,__(Y,Z))</RHS></DPRULE><DPRULE num="1"><LHS>Marked___(__(X,Y),Z)</LHS><RHS>Marked___(Y,Z)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_and(tt,X)</LHS><RHS>Marked_activate(X)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_isList(V)</LHS><RHS>Marked_isNeList(activate(V))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_isList(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_and(isList(activate(V1)),n__isList(activate(V2)))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_isList(activate(V1))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_isNeList(V)</LHS><RHS>Marked_isQid(activate(V))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_isNeList(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_and(isList(activate(V1)),n__isNeList(activate(V2)))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_isList(activate(V1))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_and(isNeList(activate(V1)),n__isList(activate(V2)))</RHS></DPRULE><DPRULE num="16"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_isNeList(activate(V1))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_isNePal(V)</LHS><RHS>Marked_isQid(activate(V))</RHS></DPRULE><DPRULE num="20"><LHS>Marked_isNePal(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="21"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_and(isQid(activate(I)),n__isPal(activate(P)))</RHS></DPRULE><DPRULE num="22"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_isQid(activate(I))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_activate(I)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_activate(P)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_isPal(V)</LHS><RHS>Marked_isNePal(activate(V))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_isPal(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_activate(n__nil)</LHS><RHS>Marked_nil</RHS></DPRULE><DPRULE num="28"><LHS>Marked_activate(n____(X1,X2))</LHS><RHS>Marked___(X1,X2)</RHS></DPRULE><DPRULE num="29"><LHS>Marked_activate(n__isList(X))</LHS><RHS>Marked_isList(X)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_activate(n__isNeList(X))</LHS><RHS>Marked_isNeList(X)</RHS></DPRULE><DPRULE num="31"><LHS>Marked_activate(n__isPal(X))</LHS><RHS>Marked_isPal(X)</RHS></DPRULE><DPRULE num="32"><LHS>Marked_activate(n__a)</LHS><RHS>Marked_a</RHS></DPRULE><DPRULE num="33"><LHS>Marked_activate(n__e)</LHS><RHS>Marked_e</RHS></DPRULE><DPRULE num="34"><LHS>Marked_activate(n__i)</LHS><RHS>Marked_i</RHS></DPRULE><DPRULE num="35"><LHS>Marked_activate(n__o)</LHS><RHS>Marked_o</RHS></DPRULE><DPRULE num="36"><LHS>Marked_activate(n__u)</LHS><RHS>Marked_u</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="36"/></NONSCC><NONSCC num="1"><NODE ref="35"/></NONSCC><NONSCC num="2"><NODE ref="34"/></NONSCC><NONSCC num="3"><NODE ref="33"/></NONSCC><NONSCC num="4"><NODE ref="32"/></NONSCC><SCC num="5"><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="10"/><NODE ref="11"/><NODE ref="12"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/><NODE ref="16"/><NODE ref="13"/><NODE ref="14"/><NODE ref="20"/><NODE ref="21"/><NODE ref="23"/><NODE ref="24"/><NODE ref="25"/><NODE ref="26"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/></SCC><NONSCC num="6"><NODE ref="9"/></NONSCC><NONSCC num="7"><NODE ref="28"/></NONSCC><SCC num="8"><NODE ref="0"/><NODE ref="1"/></SCC><NONSCC num="9"><NODE ref="27"/></NONSCC><NONSCC num="10"><NODE ref="22"/></NONSCC><NONSCC num="11"><NODE ref="19"/></NONSCC></CCLIST><EDGE end="11" start="5"/><EDGE end="10" start="5"/><EDGE end="9" start="5"/><EDGE end="7" start="5"/><EDGE end="6" start="5"/><EDGE end="4" start="5"/><EDGE end="3" start="5"/><EDGE end="2" start="5"/><EDGE end="1" start="5"/><EDGE end="0" start="5"/><EDGE end="8" start="7"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>__(__(X,Y),Z)</LHS><RHS>__(X,__(Y,Z))</RHS></RULE><RULE><LHS>__(X,nil)</LHS><RHS>X</RHS></RULE><RULE><LHS>__(nil,X)</LHS><RHS>X</RHS></RULE><RULE><LHS>and(tt,X)</LHS><RHS>activate(X)</RHS></RULE><RULE><LHS>isList(V)</LHS><RHS>isNeList(activate(V))</RHS></RULE><RULE><LHS>isList(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isNeList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isNeList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNePal(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNePal(n____(I,__(P,I)))</LHS><RHS>and(isQid(activate(I)),n__isPal(activate(P)))</RHS></RULE><RULE><LHS>isPal(V)</LHS><RHS>isNePal(activate(V))</RHS></RULE><RULE><LHS>isPal(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__a)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__e)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__i)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__o)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__u)</LHS><RHS>tt</RHS></RULE><RULE><LHS>nil</LHS><RHS>n__nil</RHS></RULE><RULE><LHS>__(X1,X2)</LHS><RHS>n____(X1,X2)</RHS></RULE><RULE><LHS>isList(X)</LHS><RHS>n__isList(X)</RHS></RULE><RULE><LHS>isNeList(X)</LHS><RHS>n__isNeList(X)</RHS></RULE><RULE><LHS>isPal(X)</LHS><RHS>n__isPal(X)</RHS></RULE><RULE><LHS>a</LHS><RHS>n__a</RHS></RULE><RULE><LHS>e</LHS><RHS>n__e</RHS></RULE><RULE><LHS>i</LHS><RHS>n__i</RHS></RULE><RULE><LHS>o</LHS><RHS>n__o</RHS></RULE><RULE><LHS>u</LHS><RHS>n__u</RHS></RULE><RULE><LHS>activate(n__nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>activate(n____(X1,X2))</LHS><RHS>__(X1,X2)</RHS></RULE><RULE><LHS>activate(n__isList(X))</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>activate(n__isNeList(X))</LHS><RHS>isNeList(X)</RHS></RULE><RULE><LHS>activate(n__isPal(X))</LHS><RHS>isPal(X)</RHS></RULE><RULE><LHS>activate(n__a)</LHS><RHS>a</RHS></RULE><RULE><LHS>activate(n__e)</LHS><RHS>e</RHS></RULE><RULE><LHS>activate(n__i)</LHS><RHS>i</RHS></RULE><RULE><LHS>activate(n__o)</LHS><RHS>o</RHS></RULE><RULE><LHS>activate(n__u)</LHS><RHS>u</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_and(tt,X)</LHS><RHS>Marked_activate(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isList(V)</LHS><RHS>Marked_isNeList(activate(V))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_isList(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_and(isList(activate(V1)),n__isList(activate(V2)))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_isList(activate(V1))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_isNeList(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_and(isList(activate(V1)),n__isNeList(activate(V2)))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_isList(activate(V1))</RHS></DPRULE><DPRULE num="10"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_and(isNeList(activate(V1)),n__isList(activate(V2)))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_isNeList(activate(V1))</RHS></DPRULE><DPRULE num="14"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="15"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_isNePal(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_and(isQid(activate(I)),n__isPal(activate(P)))</RHS></DPRULE><DPRULE num="18"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_activate(I)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_activate(P)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_isPal(V)</LHS><RHS>Marked_isNePal(activate(V))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_isPal(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_activate(n__isList(X))</LHS><RHS>Marked_isList(X)</RHS></DPRULE><DPRULE num="23"><LHS>Marked_activate(n__isNeList(X))</LHS><RHS>Marked_isNeList(X)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_activate(n__isPal(X))</LHS><RHS>Marked_isPal(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>__</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_isNeList</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>n__e</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__isList</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>u</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>a</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>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>activate</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__o</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>isList</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_and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>i</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>isPal</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>nil</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_isList</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>n__i</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n____</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_activate</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>isNeList</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_isNePal</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>e</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__isPal</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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>n__u</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>n__isNeList</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>n__nil</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>n__a</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_isPal</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_and(tt,X)</LHS><RHS>Marked_activate(X)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isList(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_isList(activate(V1))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_isNeList(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_and(isList(activate(V1)),n__isNeList(activate(V2)))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_isList(activate(V1))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_isNeList(activate(V1))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V1)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_activate(V2)</RHS></DPRULE><DPRULE num="13"><LHS>Marked_isNePal(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_and(isQid(activate(I)),n__isPal(activate(P)))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_activate(I)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_isNePal(n____(I,__(P,I)))</LHS><RHS>Marked_activate(P)</RHS></DPRULE><DPRULE num="17"><LHS>Marked_isPal(V)</LHS><RHS>Marked_activate(V)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_activate(n__isList(X))</LHS><RHS>Marked_isList(X)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_activate(n__isPal(X))</LHS><RHS>Marked_isPal(X)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>__(__(X,Y),Z)</LHS><RHS>__(X,__(Y,Z))</RHS></RULE><RULE><LHS>__(X,nil)</LHS><RHS>X</RHS></RULE><RULE><LHS>__(nil,X)</LHS><RHS>X</RHS></RULE><RULE><LHS>and(tt,X)</LHS><RHS>activate(X)</RHS></RULE><RULE><LHS>isList(V)</LHS><RHS>isNeList(activate(V))</RHS></RULE><RULE><LHS>isList(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isNeList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isNeList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNePal(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNePal(n____(I,__(P,I)))</LHS><RHS>and(isQid(activate(I)),n__isPal(activate(P)))</RHS></RULE><RULE><LHS>isPal(V)</LHS><RHS>isNePal(activate(V))</RHS></RULE><RULE><LHS>isPal(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__a)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__e)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__i)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__o)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__u)</LHS><RHS>tt</RHS></RULE><RULE><LHS>nil</LHS><RHS>n__nil</RHS></RULE><RULE><LHS>__(X1,X2)</LHS><RHS>n____(X1,X2)</RHS></RULE><RULE><LHS>isList(X)</LHS><RHS>n__isList(X)</RHS></RULE><RULE><LHS>isNeList(X)</LHS><RHS>n__isNeList(X)</RHS></RULE><RULE><LHS>isPal(X)</LHS><RHS>n__isPal(X)</RHS></RULE><RULE><LHS>a</LHS><RHS>n__a</RHS></RULE><RULE><LHS>e</LHS><RHS>n__e</RHS></RULE><RULE><LHS>i</LHS><RHS>n__i</RHS></RULE><RULE><LHS>o</LHS><RHS>n__o</RHS></RULE><RULE><LHS>u</LHS><RHS>n__u</RHS></RULE><RULE><LHS>activate(n__nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>activate(n____(X1,X2))</LHS><RHS>__(X1,X2)</RHS></RULE><RULE><LHS>activate(n__isList(X))</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>activate(n__isNeList(X))</LHS><RHS>isNeList(X)</RHS></RULE><RULE><LHS>activate(n__isPal(X))</LHS><RHS>isPal(X)</RHS></RULE><RULE><LHS>activate(n__a)</LHS><RHS>a</RHS></RULE><RULE><LHS>activate(n__e)</LHS><RHS>e</RHS></RULE><RULE><LHS>activate(n__i)</LHS><RHS>i</RHS></RULE><RULE><LHS>activate(n__o)</LHS><RHS>o</RHS></RULE><RULE><LHS>activate(n__u)</LHS><RHS>u</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_isList(V)</LHS><RHS>Marked_isNeList(activate(V))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_isList(n____(V1,V2))</LHS><RHS>Marked_and(isList(activate(V1)),n__isList(activate(V2)))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_isNeList(n____(V1,V2))</LHS><RHS>Marked_and(isNeList(activate(V1)),n__isList(activate(V2)))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_isPal(V)</LHS><RHS>Marked_isNePal(activate(V))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_activate(n__isNeList(X))</LHS><RHS>Marked_isNeList(X)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="4"/></NONSCC><NONSCC num="1"><NODE ref="2"/></NONSCC><NONSCC num="2"><NODE ref="3"/></NONSCC><NONSCC num="3"><NODE ref="1"/></NONSCC><NONSCC num="4"><NODE ref="0"/></NONSCC></CCLIST><EDGE end="1" start="0"/><EDGE end="1" start="4"/></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>__(__(X,Y),Z)</LHS><RHS>__(X,__(Y,Z))</RHS></RULE><RULE><LHS>__(X,nil)</LHS><RHS>X</RHS></RULE><RULE><LHS>__(nil,X)</LHS><RHS>X</RHS></RULE><RULE><LHS>and(tt,X)</LHS><RHS>activate(X)</RHS></RULE><RULE><LHS>isList(V)</LHS><RHS>isNeList(activate(V))</RHS></RULE><RULE><LHS>isList(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isNeList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isNeList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNePal(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNePal(n____(I,__(P,I)))</LHS><RHS>and(isQid(activate(I)),n__isPal(activate(P)))</RHS></RULE><RULE><LHS>isPal(V)</LHS><RHS>isNePal(activate(V))</RHS></RULE><RULE><LHS>isPal(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__a)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__e)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__i)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__o)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__u)</LHS><RHS>tt</RHS></RULE><RULE><LHS>nil</LHS><RHS>n__nil</RHS></RULE><RULE><LHS>__(X1,X2)</LHS><RHS>n____(X1,X2)</RHS></RULE><RULE><LHS>isList(X)</LHS><RHS>n__isList(X)</RHS></RULE><RULE><LHS>isNeList(X)</LHS><RHS>n__isNeList(X)</RHS></RULE><RULE><LHS>isPal(X)</LHS><RHS>n__isPal(X)</RHS></RULE><RULE><LHS>a</LHS><RHS>n__a</RHS></RULE><RULE><LHS>e</LHS><RHS>n__e</RHS></RULE><RULE><LHS>i</LHS><RHS>n__i</RHS></RULE><RULE><LHS>o</LHS><RHS>n__o</RHS></RULE><RULE><LHS>u</LHS><RHS>n__u</RHS></RULE><RULE><LHS>activate(n__nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>activate(n____(X1,X2))</LHS><RHS>__(X1,X2)</RHS></RULE><RULE><LHS>activate(n__isList(X))</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>activate(n__isNeList(X))</LHS><RHS>isNeList(X)</RHS></RULE><RULE><LHS>activate(n__isPal(X))</LHS><RHS>isPal(X)</RHS></RULE><RULE><LHS>activate(n__a)</LHS><RHS>a</RHS></RULE><RULE><LHS>activate(n__e)</LHS><RHS>e</RHS></RULE><RULE><LHS>activate(n__i)</LHS><RHS>i</RHS></RULE><RULE><LHS>activate(n__o)</LHS><RHS>o</RHS></RULE><RULE><LHS>activate(n__u)</LHS><RHS>u</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked___(__(X,Y),Z)</LHS><RHS>Marked___(X,__(Y,Z))</RHS></DPRULE><DPRULE num="1"><LHS>Marked___(__(X,Y),Z)</LHS><RHS>Marked___(Y,Z)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked___</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked___(__(X,Y),Z)</LHS><RHS>Marked___(Y,Z)</RHS></DPRULE><DPRULE num="1"><LHS>Marked___(__(X,Y),Z)</LHS><RHS>Marked___(X,__(Y,Z))</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>__(__(X,Y),Z)</LHS><RHS>__(X,__(Y,Z))</RHS></RULE><RULE><LHS>__(X,nil)</LHS><RHS>X</RHS></RULE><RULE><LHS>__(nil,X)</LHS><RHS>X</RHS></RULE><RULE><LHS>and(tt,X)</LHS><RHS>activate(X)</RHS></RULE><RULE><LHS>isList(V)</LHS><RHS>isNeList(activate(V))</RHS></RULE><RULE><LHS>isList(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isList(activate(V1)),n__isNeList(activate(V2)))</RHS></RULE><RULE><LHS>isNeList(n____(V1,V2))</LHS><RHS>and(isNeList(activate(V1)),n__isList(activate(V2)))</RHS></RULE><RULE><LHS>isNePal(V)</LHS><RHS>isQid(activate(V))</RHS></RULE><RULE><LHS>isNePal(n____(I,__(P,I)))</LHS><RHS>and(isQid(activate(I)),n__isPal(activate(P)))</RHS></RULE><RULE><LHS>isPal(V)</LHS><RHS>isNePal(activate(V))</RHS></RULE><RULE><LHS>isPal(n__nil)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__a)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__e)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__i)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__o)</LHS><RHS>tt</RHS></RULE><RULE><LHS>isQid(n__u)</LHS><RHS>tt</RHS></RULE><RULE><LHS>nil</LHS><RHS>n__nil</RHS></RULE><RULE><LHS>__(X1,X2)</LHS><RHS>n____(X1,X2)</RHS></RULE><RULE><LHS>isList(X)</LHS><RHS>n__isList(X)</RHS></RULE><RULE><LHS>isNeList(X)</LHS><RHS>n__isNeList(X)</RHS></RULE><RULE><LHS>isPal(X)</LHS><RHS>n__isPal(X)</RHS></RULE><RULE><LHS>a</LHS><RHS>n__a</RHS></RULE><RULE><LHS>e</LHS><RHS>n__e</RHS></RULE><RULE><LHS>i</LHS><RHS>n__i</RHS></RULE><RULE><LHS>o</LHS><RHS>n__o</RHS></RULE><RULE><LHS>u</LHS><RHS>n__u</RHS></RULE><RULE><LHS>activate(n__nil)</LHS><RHS>nil</RHS></RULE><RULE><LHS>activate(n____(X1,X2))</LHS><RHS>__(X1,X2)</RHS></RULE><RULE><LHS>activate(n__isList(X))</LHS><RHS>isList(X)</RHS></RULE><RULE><LHS>activate(n__isNeList(X))</LHS><RHS>isNeList(X)</RHS></RULE><RULE><LHS>activate(n__isPal(X))</LHS><RHS>isPal(X)</RHS></RULE><RULE><LHS>activate(n__a)</LHS><RHS>a</RHS></RULE><RULE><LHS>activate(n__e)</LHS><RHS>e</RHS></RULE><RULE><LHS>activate(n__i)</LHS><RHS>i</RHS></RULE><RULE><LHS>activate(n__o)</LHS><RHS>o</RHS></RULE><RULE><LHS>activate(n__u)</LHS><RHS>u</RHS></RULE><RULE><LHS>activate(X)</LHS><RHS>X</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROOF>
