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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="2" unmarked="circ"><NAME>Marked_circ</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>lift</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>subst</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>msubst</NAME></SYMBOL><SYMBOL arity="2" unmarked="msubst"><NAME>Marked_msubst</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>circ</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>id</NAME></SYMBOL><SYMBOL arity="2" unmarked="subst"><NAME>Marked_subst</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>cons</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>u</VAR><VAR>t</VAR><VAR>s</VAR><VAR>a</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>circ(cons(a,s),t)</LHS><RHS>cons(msubst(a,t),circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(a,t))</LHS><RHS>cons(a,circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(lift,t))</LHS><RHS>cons(lift,circ(s,t))</RHS></RULE><RULE><LHS>circ(circ(s,t),u)</LHS><RHS>circ(s,circ(t,u))</RHS></RULE><RULE><LHS>circ(s,id)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(id,s)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>circ(cons(lift,circ(s,t)),u)</RHS></RULE><RULE><LHS>subst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(msubst(a,s),t)</LHS><RHS>msubst(a,circ(s,t))</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>circ(cons(a,s),t)</LHS><RHS>cons(msubst(a,t),circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(a,t))</LHS><RHS>cons(a,circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(lift,t))</LHS><RHS>cons(lift,circ(s,t))</RHS></RULE><RULE><LHS>circ(circ(s,t),u)</LHS><RHS>circ(s,circ(t,u))</RHS></RULE><RULE><LHS>circ(s,id)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(id,s)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>circ(cons(lift,circ(s,t)),u)</RHS></RULE><RULE><LHS>subst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(msubst(a,s),t)</LHS><RHS>msubst(a,circ(s,t))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_circ(cons(a,s),t)</LHS><RHS>Marked_msubst(a,t)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_circ(cons(a,s),t)</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_circ(cons(lift,s),cons(a,t))</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_circ(cons(lift,s),cons(lift,t))</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_circ(circ(s,t),u)</LHS><RHS>Marked_circ(s,circ(t,u))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_circ(circ(s,t),u)</LHS><RHS>Marked_circ(t,u)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>Marked_circ(cons(lift,circ(s,t)),u)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_msubst(msubst(a,s),t)</LHS><RHS>Marked_msubst(a,circ(s,t))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_msubst(msubst(a,s),t)</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/><NODE ref="3"/><NODE ref="4"/><NODE ref="5"/><NODE ref="6"/><NODE ref="7"/><NODE ref="8"/><NODE ref="9"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>circ(cons(a,s),t)</LHS><RHS>cons(msubst(a,t),circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(a,t))</LHS><RHS>cons(a,circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(lift,t))</LHS><RHS>cons(lift,circ(s,t))</RHS></RULE><RULE><LHS>circ(circ(s,t),u)</LHS><RHS>circ(s,circ(t,u))</RHS></RULE><RULE><LHS>circ(s,id)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(id,s)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>circ(cons(lift,circ(s,t)),u)</RHS></RULE><RULE><LHS>subst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(msubst(a,s),t)</LHS><RHS>msubst(a,circ(s,t))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_circ(cons(a,s),t)</LHS><RHS>Marked_msubst(a,t)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_circ(cons(a,s),t)</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_circ(cons(lift,s),cons(a,t))</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_circ(cons(lift,s),cons(lift,t))</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_circ(circ(s,t),u)</LHS><RHS>Marked_circ(s,circ(t,u))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_circ(circ(s,t),u)</LHS><RHS>Marked_circ(t,u)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>Marked_circ(cons(lift,circ(s,t)),u)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_msubst(msubst(a,s),t)</LHS><RHS>Marked_msubst(a,circ(s,t))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_msubst(msubst(a,s),t)</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>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>id</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>circ</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_msubst</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="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>msubst</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</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></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>subst</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>lift</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_circ</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_circ(cons(a,s),t)</LHS><RHS>Marked_msubst(a,t)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_circ(cons(a,s),t)</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_circ(cons(lift,s),cons(a,t))</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_circ(cons(lift,s),cons(lift,t))</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>Marked_circ(cons(lift,circ(s,t)),u)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>circ(cons(a,s),t)</LHS><RHS>cons(msubst(a,t),circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(a,t))</LHS><RHS>cons(a,circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(lift,t))</LHS><RHS>cons(lift,circ(s,t))</RHS></RULE><RULE><LHS>circ(circ(s,t),u)</LHS><RHS>circ(s,circ(t,u))</RHS></RULE><RULE><LHS>circ(s,id)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(id,s)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>circ(cons(lift,circ(s,t)),u)</RHS></RULE><RULE><LHS>subst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(msubst(a,s),t)</LHS><RHS>msubst(a,circ(s,t))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_circ(circ(s,t),u)</LHS><RHS>Marked_circ(s,circ(t,u))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_circ(circ(s,t),u)</LHS><RHS>Marked_circ(t,u)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_msubst(msubst(a,s),t)</LHS><RHS>Marked_msubst(a,circ(s,t))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_msubst(msubst(a,s),t)</LHS><RHS>Marked_circ(s,t)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="3"/></NONSCC><SCC num="1"><NODE ref="0"/><NODE ref="1"/></SCC><SCC num="2"><NODE ref="2"/></SCC></CCLIST><EDGE end="1" start="0"/><EDGE end="0" start="2"/></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>circ(cons(a,s),t)</LHS><RHS>cons(msubst(a,t),circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(a,t))</LHS><RHS>cons(a,circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(lift,t))</LHS><RHS>cons(lift,circ(s,t))</RHS></RULE><RULE><LHS>circ(circ(s,t),u)</LHS><RHS>circ(s,circ(t,u))</RHS></RULE><RULE><LHS>circ(s,id)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(id,s)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>circ(cons(lift,circ(s,t)),u)</RHS></RULE><RULE><LHS>subst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(msubst(a,s),t)</LHS><RHS>msubst(a,circ(s,t))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_msubst(msubst(a,s),t)</LHS><RHS>Marked_msubst(a,circ(s,t))</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>id</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>circ</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_msubst</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>msubst</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</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>subst</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><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>3</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>lift</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>circ(cons(a,s),t)</LHS><RHS>cons(msubst(a,t),circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(a,t))</LHS><RHS>cons(a,circ(s,t))</RHS></RULE><RULE><LHS>circ(cons(lift,s),cons(lift,t))</LHS><RHS>cons(lift,circ(s,t))</RHS></RULE><RULE><LHS>circ(circ(s,t),u)</LHS><RHS>circ(s,circ(t,u))</RHS></RULE><RULE><LHS>circ(s,id)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(id,s)</LHS><RHS>s</RHS></RULE><RULE><LHS>circ(cons(lift,s),circ(cons(lift,t),u))</LHS><RHS>circ(cons(lift,circ(s,t)),u)</RHS></RULE><RULE><LHS>subst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(a,id)</LHS><RHS>a</RHS></RULE><RULE><LHS>msubst(msubst(a,s),t)</LHS><RHS>msubst(a,circ(s,t))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_circ(circ(s,t),u)</LHS><RHS>Marked_circ(s,circ(t,u))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_circ(circ(s,t),u)</LHS><RHS>Marked_circ(t,u)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>cons</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>id</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>circ</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>msubst</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>subst</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><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>lift</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_circ</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>2</INT></COEF><ARG degree="1" num="0"/></MONOME></POLYNOMIAL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROOF>
