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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="2" unmarked=""><NAME> *</NAME></SYMBOL><SYMBOL arity="2" unmarked="+"><NAME>Marked_+</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>1</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>opp</NAME></SYMBOL><SYMBOL arity="2" unmarked="-"><NAME>Marked_-</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>0</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>-</NAME></SYMBOL><SYMBOL arity="1" unmarked="0"><NAME>Marked_0</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>+</NAME></SYMBOL><SYMBOL arity="1" unmarked="opp"><NAME>Marked_opp</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>j</NAME></SYMBOL><SYMBOL arity="2" unmarked="*"><NAME>Marked_*</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>#</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>x</VAR><VAR>y</VAR><VAR>z</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_+(0(x),0(y))</LHS><RHS>Marked_0(+(x,y))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_+(0(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_+(0(x),1(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_+(1(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_+(0(x),j(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_+(j(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_+(1(x),1(y))</LHS><RHS>Marked_+(+(x,y),1(#))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_+(1(x),1(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_+(j(x),j(y))</LHS><RHS>Marked_+(+(x,y),j(#))</RHS></DPRULE><DPRULE num="9"><LHS>Marked_+(j(x),j(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_+(1(x),j(y))</LHS><RHS>Marked_0(+(x,y))</RHS></DPRULE><DPRULE num="11"><LHS>Marked_+(1(x),j(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="12"><LHS>Marked_+(j(x),1(y))</LHS><RHS>Marked_0(+(x,y))</RHS></DPRULE><DPRULE num="13"><LHS>Marked_+(j(x),1(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="14"><LHS>Marked_+(+(x,y),z)</LHS><RHS>Marked_+(x,+(y,z))</RHS></DPRULE><DPRULE num="15"><LHS>Marked_+(+(x,y),z)</LHS><RHS>Marked_+(y,z)</RHS></DPRULE><DPRULE num="16"><LHS>Marked_opp(0(x))</LHS><RHS>Marked_0(opp(x))</RHS></DPRULE><DPRULE num="17"><LHS>Marked_opp(0(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE><DPRULE num="18"><LHS>Marked_opp(1(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE><DPRULE num="19"><LHS>Marked_opp(j(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE><DPRULE num="20"><LHS>Marked_-(x,y)</LHS><RHS>Marked_+(x,opp(y))</RHS></DPRULE><DPRULE num="21"><LHS>Marked_-(x,y)</LHS><RHS>Marked_opp(y)</RHS></DPRULE><DPRULE num="22"><LHS>Marked_*(0(x),y)</LHS><RHS>Marked_0( *(x,y))</RHS></DPRULE><DPRULE num="23"><LHS>Marked_*(0(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE><DPRULE num="24"><LHS>Marked_*(1(x),y)</LHS><RHS>Marked_+(0( *(x,y)),y)</RHS></DPRULE><DPRULE num="25"><LHS>Marked_*(1(x),y)</LHS><RHS>Marked_0( *(x,y))</RHS></DPRULE><DPRULE num="26"><LHS>Marked_*(1(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE><DPRULE num="27"><LHS>Marked_*(j(x),y)</LHS><RHS>Marked_-(0( *(x,y)),y)</RHS></DPRULE><DPRULE num="28"><LHS>Marked_*(j(x),y)</LHS><RHS>Marked_0( *(x,y))</RHS></DPRULE><DPRULE num="29"><LHS>Marked_*(j(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE><DPRULE num="30"><LHS>Marked_*( *(x,y),z)</LHS><RHS>Marked_*(x, *(y,z))</RHS></DPRULE><DPRULE num="31"><LHS>Marked_*( *(x,y),z)</LHS><RHS>Marked_*(y,z)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="23"/><NODE ref="26"/><NODE ref="29"/><NODE ref="30"/><NODE ref="31"/></SCC><NONSCC num="1"><NODE ref="28"/></NONSCC><NONSCC num="2"><NODE ref="27"/></NONSCC><NONSCC num="3"><NODE ref="25"/></NONSCC><NONSCC num="4"><NODE ref="24"/></NONSCC><NONSCC num="5"><NODE ref="22"/></NONSCC><NONSCC num="6"><NODE ref="21"/></NONSCC><NONSCC num="7"><NODE ref="20"/></NONSCC><SCC num="8"><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="11"/><NODE ref="13"/><NODE ref="14"/><NODE ref="15"/></SCC><NONSCC num="9"><NODE ref="12"/></NONSCC><NONSCC num="10"><NODE ref="10"/></NONSCC><NONSCC num="11"><NODE ref="0"/></NONSCC><SCC num="12"><NODE ref="17"/><NODE ref="18"/><NODE ref="19"/></SCC><NONSCC num="13"><NODE ref="16"/></NONSCC></CCLIST><EDGE end="5" start="0"/><EDGE end="4" start="0"/><EDGE end="3" start="0"/><EDGE end="2" start="0"/><EDGE end="1" start="0"/><EDGE end="7" start="2"/><EDGE end="6" start="2"/><EDGE end="11" start="4"/><EDGE end="10" start="4"/><EDGE end="9" start="4"/><EDGE end="8" start="4"/><EDGE end="13" start="6"/><EDGE end="12" start="6"/><EDGE end="11" start="7"/><EDGE end="10" start="7"/><EDGE end="9" start="7"/><EDGE end="8" start="7"/><EDGE end="11" start="8"/><EDGE end="10" start="8"/><EDGE end="9" start="8"/><EDGE end="13" start="12"/></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_*(0(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_*(1(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_*(j(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_*( *(x,y),z)</LHS><RHS>Marked_*(x, *(y,z))</RHS></DPRULE><DPRULE num="4"><LHS>Marked_*( *(x,y),z)</LHS><RHS>Marked_*(y,z)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>#</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_*</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>j</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>+</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>-</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>0</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>opp</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>1</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> *</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><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></SUMPOLY></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_*(1(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_*(j(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_*( *(x,y),z)</LHS><RHS>Marked_*(x, *(y,z))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_*( *(x,y),z)</LHS><RHS>Marked_*(y,z)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_*(0(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_*(0(x),y)</LHS><RHS>Marked_*(x,y)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>#</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_*</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>j</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>+</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>-</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>0</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>opp</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>1</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> *</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></CRITERION></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_+(0(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_+(0(x),1(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_+(1(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_+(0(x),j(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_+(j(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="5"><LHS>Marked_+(1(x),1(y))</LHS><RHS>Marked_+(+(x,y),1(#))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_+(1(x),1(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_+(j(x),j(y))</LHS><RHS>Marked_+(+(x,y),j(#))</RHS></DPRULE><DPRULE num="8"><LHS>Marked_+(j(x),j(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_+(1(x),j(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="10"><LHS>Marked_+(j(x),1(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="11"><LHS>Marked_+(+(x,y),z)</LHS><RHS>Marked_+(x,+(y,z))</RHS></DPRULE><DPRULE num="12"><LHS>Marked_+(+(x,y),z)</LHS><RHS>Marked_+(y,z)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>#</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>j</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>+</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>-</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>0</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>opp</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>1</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_+</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> *</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><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></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_+(0(x),1(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_+(1(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_+(0(x),j(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="3"><LHS>Marked_+(j(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_+(1(x),1(y))</LHS><RHS>Marked_+(+(x,y),1(#))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_+(1(x),1(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="6"><LHS>Marked_+(j(x),j(y))</LHS><RHS>Marked_+(+(x,y),j(#))</RHS></DPRULE><DPRULE num="7"><LHS>Marked_+(j(x),j(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_+(1(x),j(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_+(j(x),1(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_+(0(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_+(+(x,y),z)</LHS><RHS>Marked_+(x,+(y,z))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_+(+(x,y),z)</LHS><RHS>Marked_+(y,z)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/><NODE ref="1"/><NODE ref="2"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_+(0(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_+(+(x,y),z)</LHS><RHS>Marked_+(x,+(y,z))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_+(+(x,y),z)</LHS><RHS>Marked_+(y,z)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>#</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>j</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>+</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>-</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>0</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>opp</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>1</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_+</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> *</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>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></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_+(0(x),0(y))</LHS><RHS>Marked_+(x,y)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</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><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>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</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><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>#</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>j</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>+</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>-</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>0</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>opp</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>1</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>Marked_+</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><POLYSYMB><SYMBOL><NAME> *</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>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></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="stronggraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_opp(0(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_opp(1(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_opp(j(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>#</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>j</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_opp</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>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>-</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>0</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>opp</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>1</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> *</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>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></SUMPOLY></POLYNOMIAL></POLYSYMB></ORDERING><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_opp(1(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_opp(j(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE></DPLIST></STRICTPAIRS></CRITERION><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_opp(0(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="0"/></SCC></CCLIST></DAG></CRITERION><PROPERTY criterion="ordering" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>0(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>+(#,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(x,#)</LHS><RHS>x</RHS></RULE><RULE><LHS>+(0(x),0(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),1(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),0(y))</LHS><RHS>1(+(x,y))</RHS></RULE><RULE><LHS>+(0(x),j(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),0(y))</LHS><RHS>j(+(x,y))</RHS></RULE><RULE><LHS>+(1(x),1(y))</LHS><RHS>j(+(+(x,y),1(#)))</RHS></RULE><RULE><LHS>+(j(x),j(y))</LHS><RHS>1(+(+(x,y),j(#)))</RHS></RULE><RULE><LHS>+(1(x),j(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(j(x),1(y))</LHS><RHS>0(+(x,y))</RHS></RULE><RULE><LHS>+(+(x,y),z)</LHS><RHS>+(x,+(y,z))</RHS></RULE><RULE><LHS>opp(#)</LHS><RHS>#</RHS></RULE><RULE><LHS>opp(0(x))</LHS><RHS>0(opp(x))</RHS></RULE><RULE><LHS>opp(1(x))</LHS><RHS>j(opp(x))</RHS></RULE><RULE><LHS>opp(j(x))</LHS><RHS>1(opp(x))</RHS></RULE><RULE><LHS>-(x,y)</LHS><RHS>+(x,opp(y))</RHS></RULE><RULE><LHS> *(#,x)</LHS><RHS>#</RHS></RULE><RULE><LHS> *(0(x),y)</LHS><RHS>0( *(x,y))</RHS></RULE><RULE><LHS> *(1(x),y)</LHS><RHS>+(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *(j(x),y)</LHS><RHS>-(0( *(x,y)),y)</RHS></RULE><RULE><LHS> *( *(x,y),z)</LHS><RHS> *(x, *(y,z))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_opp(0(x))</LHS><RHS>Marked_opp(x)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>#</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>j</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_opp</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>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>-</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>0</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>opp</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>1</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> *</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="0"/><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>
