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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="0" unmarked=""><NAME>cons</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>false</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>forall</NAME></SYMBOL><SYMBOL arity="2" unmarked="app"><NAME>Marked_app</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>app</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>nil</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>and</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>or</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>forsome</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>true</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>xs</VAR><VAR>p</VAR><VAR>y</VAR><VAR>x</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>app(app(and,true),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(and,x),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(and,false),y)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(or,true),y)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,x),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,false),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forall,p),nil)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></RULE><RULE><LHS>app(app(forsome,p),nil)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>app(app(and,true),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(and,x),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(and,false),y)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(or,true),y)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,x),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,false),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forall,p),nil)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></RULE><RULE><LHS>app(app(forsome,p),nil)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(and,app(p,x))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(p,x)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forall,p),xs)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(or,app(p,x))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(p,x)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forsome,p),xs)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="6"/><NODE ref="7"/></SCC><NONSCC num="1"><NODE ref="5"/></NONSCC><NONSCC num="2"><NODE ref="1"/></NONSCC></CCLIST><EDGE end="2" start="0"/><EDGE end="1" start="0"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>app(app(and,true),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(and,x),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(and,false),y)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(or,true),y)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,x),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,false),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forall,p),nil)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></RULE><RULE><LHS>app(app(forsome,p),nil)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(p,x)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forall,p),xs)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(p,x)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forsome,p),xs)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>true</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>forsome</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>or</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</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>app</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"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_app</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>forall</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>false</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(p,x)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(p,x)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>app(app(and,true),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(and,x),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(and,false),y)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(or,true),y)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,x),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,false),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forall,p),nil)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></RULE><RULE><LHS>app(app(forsome,p),nil)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forall,p),xs)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forsome,p),xs)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>app(app(and,true),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(and,x),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(and,false),y)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(or,true),y)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,x),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,false),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forall,p),nil)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></RULE><RULE><LHS>app(app(forsome,p),nil)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forall,p),xs)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forsome,p),xs)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>true</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>forsome</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>or</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>and</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>app</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_app</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>forall</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>false</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forall,p),xs)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(forsome,p),xs)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>app(app(and,true),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(and,x),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(and,false),y)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(or,true),y)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,x),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,false),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forall,p),nil)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></RULE><RULE><LHS>app(app(forsome,p),nil)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>app(app(and,true),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(and,x),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(and,false),y)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(or,true),y)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,x),true)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(or,false),false)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forall,p),nil)</LHS><RHS>true</RHS></RULE><RULE><LHS>app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></RULE><RULE><LHS>app(app(forsome,p),nil)</LHS><RHS>false</RHS></RULE><RULE><LHS>app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_app(app(forall,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(and,app(p,x)),app(app(forall,p),xs))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_app(app(forsome,p),app(app(cons,x),xs))</LHS><RHS>Marked_app(app(or,app(p,x)),app(app(forsome,p),xs))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>true</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>forsome</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>or</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></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>app</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_app</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>forall</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>false</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROOF>
