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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="1" unmarked=""><NAME>perfectp</NAME></SYMBOL><SYMBOL arity="2" unmarked="&lt;="><NAME>Marked_&lt;=</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>true</NAME></SYMBOL><SYMBOL arity="1" unmarked="perfectp"><NAME>Marked_perfectp</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>false</NAME></SYMBOL><SYMBOL arity="4" unmarked="f"><NAME>Marked_f</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>0</NAME></SYMBOL><SYMBOL arity="3" unmarked=""><NAME>if</NAME></SYMBOL><SYMBOL arity="3" unmarked="if"><NAME>Marked_if</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>s</NAME></SYMBOL><SYMBOL arity="2" unmarked="-"><NAME>Marked_-</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>&lt;=</NAME></SYMBOL><SYMBOL arity="4" unmarked=""><NAME>f</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>-</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>u</VAR><VAR>z</VAR><VAR>y</VAR><VAR>x</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>-(x,0)</LHS><RHS>x</RHS></RULE><RULE><LHS>-(s(x),s(y))</LHS><RHS>-(x,y)</RHS></RULE><RULE><LHS>&lt;=(0,y)</LHS><RHS>true</RHS></RULE><RULE><LHS>&lt;=(s(x),0)</LHS><RHS>false</RHS></RULE><RULE><LHS>&lt;=(s(x),s(y))</LHS><RHS>&lt;=(x,y)</RHS></RULE><RULE><LHS>if(true,x,y)</LHS><RHS>x</RHS></RULE><RULE><LHS>if(false,x,y)</LHS><RHS>y</RHS></RULE><RULE><LHS>perfectp(0)</LHS><RHS>false</RHS></RULE><RULE><LHS>perfectp(s(x))</LHS><RHS>f(x,s(0),s(x),s(x))</RHS></RULE><RULE><LHS>f(0,y,0,u)</LHS><RHS>true</RHS></RULE><RULE><LHS>f(0,y,s(z),u)</LHS><RHS>false</RHS></RULE><RULE><LHS>f(s(x),0,z,u)</LHS><RHS>f(x,u,-(z,s(x)),u)</RHS></RULE><RULE><LHS>f(s(x),s(y),z,u)</LHS><RHS>if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>-(x,0)</LHS><RHS>x</RHS></RULE><RULE><LHS>-(s(x),s(y))</LHS><RHS>-(x,y)</RHS></RULE><RULE><LHS>&lt;=(0,y)</LHS><RHS>true</RHS></RULE><RULE><LHS>&lt;=(s(x),0)</LHS><RHS>false</RHS></RULE><RULE><LHS>&lt;=(s(x),s(y))</LHS><RHS>&lt;=(x,y)</RHS></RULE><RULE><LHS>if(true,x,y)</LHS><RHS>x</RHS></RULE><RULE><LHS>if(false,x,y)</LHS><RHS>y</RHS></RULE><RULE><LHS>perfectp(0)</LHS><RHS>false</RHS></RULE><RULE><LHS>perfectp(s(x))</LHS><RHS>f(x,s(0),s(x),s(x))</RHS></RULE><RULE><LHS>f(0,y,0,u)</LHS><RHS>true</RHS></RULE><RULE><LHS>f(0,y,s(z),u)</LHS><RHS>false</RHS></RULE><RULE><LHS>f(s(x),0,z,u)</LHS><RHS>f(x,u,-(z,s(x)),u)</RHS></RULE><RULE><LHS>f(s(x),s(y),z,u)</LHS><RHS>if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_-(s(x),s(y))</LHS><RHS>Marked_-(x,y)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_&lt;=(s(x),s(y))</LHS><RHS>Marked_&lt;=(x,y)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_perfectp(s(x))</LHS><RHS>Marked_f(x,s(0),s(x),s(x))</RHS></DPRULE><DPRULE num="3"><LHS>Marked_f(s(x),0,z,u)</LHS><RHS>Marked_f(x,u,-(z,s(x)),u)</RHS></DPRULE><DPRULE num="4"><LHS>Marked_f(s(x),0,z,u)</LHS><RHS>Marked_-(z,s(x))</RHS></DPRULE><DPRULE num="5"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></DPRULE><DPRULE num="6"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_&lt;=(x,y)</RHS></DPRULE><DPRULE num="7"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_f(s(x),-(y,x),z,u)</RHS></DPRULE><DPRULE num="8"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_-(y,x)</RHS></DPRULE><DPRULE num="9"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_f(x,u,z,u)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><SCC num="0"><NODE ref="3"/><NODE ref="7"/><NODE ref="9"/></SCC><NONSCC num="1"><NODE ref="8"/></NONSCC><NONSCC num="2"><NODE ref="6"/></NONSCC><NONSCC num="3"><NODE ref="5"/></NONSCC><NONSCC num="4"><NODE ref="4"/></NONSCC><SCC num="5"><NODE ref="0"/></SCC><SCC num="6"><NODE ref="1"/></SCC><NONSCC num="7"><NODE ref="2"/></NONSCC></CCLIST><EDGE end="4" start="0"/><EDGE end="3" start="0"/><EDGE end="2" start="0"/><EDGE end="1" start="0"/><EDGE end="5" start="1"/><EDGE end="6" start="2"/><EDGE end="5" start="4"/><EDGE end="3" start="7"/><EDGE end="2" start="7"/><EDGE end="1" start="7"/><EDGE end="0" start="7"/></DAG></CRITERION><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>-(x,0)</LHS><RHS>x</RHS></RULE><RULE><LHS>-(s(x),s(y))</LHS><RHS>-(x,y)</RHS></RULE><RULE><LHS>&lt;=(0,y)</LHS><RHS>true</RHS></RULE><RULE><LHS>&lt;=(s(x),0)</LHS><RHS>false</RHS></RULE><RULE><LHS>&lt;=(s(x),s(y))</LHS><RHS>&lt;=(x,y)</RHS></RULE><RULE><LHS>if(true,x,y)</LHS><RHS>x</RHS></RULE><RULE><LHS>if(false,x,y)</LHS><RHS>y</RHS></RULE><RULE><LHS>perfectp(0)</LHS><RHS>false</RHS></RULE><RULE><LHS>perfectp(s(x))</LHS><RHS>f(x,s(0),s(x),s(x))</RHS></RULE><RULE><LHS>f(0,y,0,u)</LHS><RHS>true</RHS></RULE><RULE><LHS>f(0,y,s(z),u)</LHS><RHS>false</RHS></RULE><RULE><LHS>f(s(x),0,z,u)</LHS><RHS>f(x,u,-(z,s(x)),u)</RHS></RULE><RULE><LHS>f(s(x),s(y),z,u)</LHS><RHS>if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_f(s(x),0,z,u)</LHS><RHS>Marked_f(x,u,-(z,s(x)),u)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_f(s(x),-(y,x),z,u)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_f(x,u,z,u)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_f</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_f(x,u,z,u)</RHS></DPRULE><DPRULE num="1"><LHS>Marked_f(s(x),0,z,u)</LHS><RHS>Marked_f(x,u,-(z,s(x)),u)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>-(x,0)</LHS><RHS>x</RHS></RULE><RULE><LHS>-(s(x),s(y))</LHS><RHS>-(x,y)</RHS></RULE><RULE><LHS>&lt;=(0,y)</LHS><RHS>true</RHS></RULE><RULE><LHS>&lt;=(s(x),0)</LHS><RHS>false</RHS></RULE><RULE><LHS>&lt;=(s(x),s(y))</LHS><RHS>&lt;=(x,y)</RHS></RULE><RULE><LHS>if(true,x,y)</LHS><RHS>x</RHS></RULE><RULE><LHS>if(false,x,y)</LHS><RHS>y</RHS></RULE><RULE><LHS>perfectp(0)</LHS><RHS>false</RHS></RULE><RULE><LHS>perfectp(s(x))</LHS><RHS>f(x,s(0),s(x),s(x))</RHS></RULE><RULE><LHS>f(0,y,0,u)</LHS><RHS>true</RHS></RULE><RULE><LHS>f(0,y,s(z),u)</LHS><RHS>false</RHS></RULE><RULE><LHS>f(s(x),0,z,u)</LHS><RHS>f(x,u,-(z,s(x)),u)</RHS></RULE><RULE><LHS>f(s(x),s(y),z,u)</LHS><RHS>if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_f(s(x),-(y,x),z,u)</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>-(x,0)</LHS><RHS>x</RHS></RULE><RULE><LHS>-(s(x),s(y))</LHS><RHS>-(x,y)</RHS></RULE><RULE><LHS>&lt;=(0,y)</LHS><RHS>true</RHS></RULE><RULE><LHS>&lt;=(s(x),0)</LHS><RHS>false</RHS></RULE><RULE><LHS>&lt;=(s(x),s(y))</LHS><RHS>&lt;=(x,y)</RHS></RULE><RULE><LHS>if(true,x,y)</LHS><RHS>x</RHS></RULE><RULE><LHS>if(false,x,y)</LHS><RHS>y</RHS></RULE><RULE><LHS>perfectp(0)</LHS><RHS>false</RHS></RULE><RULE><LHS>perfectp(s(x))</LHS><RHS>f(x,s(0),s(x),s(x))</RHS></RULE><RULE><LHS>f(0,y,0,u)</LHS><RHS>true</RHS></RULE><RULE><LHS>f(0,y,s(z),u)</LHS><RHS>false</RHS></RULE><RULE><LHS>f(s(x),0,z,u)</LHS><RHS>f(x,u,-(z,s(x)),u)</RHS></RULE><RULE><LHS>f(s(x),s(y),z,u)</LHS><RHS>if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_f(s(x),s(y),z,u)</LHS><RHS>Marked_f(s(x),-(y,x),z,u)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><ORDERING type="poly"><POLYSYMB><SYMBOL><NAME>-</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>f</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>&lt;=</NAME></SYMBOL><POLYNOMIAL><SUMPOLY><POLYNOMIAL><MONOME><COEF><INT>1</INT></COEF><ARG degree="1" num="1"/></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>s</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>if</NAME></SYMBOL><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="2"/></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>3</INT></COEF></MONOME></POLYNOMIAL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></SUMPOLY></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>Marked_f</NAME></SYMBOL><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></POLYSYMB><POLYSYMB><SYMBOL><NAME>false</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>true</NAME></SYMBOL><POLYNOMIAL><MONOME><COEF><INT>0</INT></COEF></MONOME></POLYNOMIAL></POLYSYMB><POLYSYMB><SYMBOL><NAME>perfectp</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></ORDERING></CRITERION></PROPERTY></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>-(x,0)</LHS><RHS>x</RHS></RULE><RULE><LHS>-(s(x),s(y))</LHS><RHS>-(x,y)</RHS></RULE><RULE><LHS>&lt;=(0,y)</LHS><RHS>true</RHS></RULE><RULE><LHS>&lt;=(s(x),0)</LHS><RHS>false</RHS></RULE><RULE><LHS>&lt;=(s(x),s(y))</LHS><RHS>&lt;=(x,y)</RHS></RULE><RULE><LHS>if(true,x,y)</LHS><RHS>x</RHS></RULE><RULE><LHS>if(false,x,y)</LHS><RHS>y</RHS></RULE><RULE><LHS>perfectp(0)</LHS><RHS>false</RHS></RULE><RULE><LHS>perfectp(s(x))</LHS><RHS>f(x,s(0),s(x),s(x))</RHS></RULE><RULE><LHS>f(0,y,0,u)</LHS><RHS>true</RHS></RULE><RULE><LHS>f(0,y,s(z),u)</LHS><RHS>false</RHS></RULE><RULE><LHS>f(s(x),0,z,u)</LHS><RHS>f(x,u,-(z,s(x)),u)</RHS></RULE><RULE><LHS>f(s(x),s(y),z,u)</LHS><RHS>if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_&lt;=(s(x),s(y))</LHS><RHS>Marked_&lt;=(x,y)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_&lt;=</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_&lt;=(s(x),s(y))</LHS><RHS>Marked_&lt;=(x,y)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>-(x,0)</LHS><RHS>x</RHS></RULE><RULE><LHS>-(s(x),s(y))</LHS><RHS>-(x,y)</RHS></RULE><RULE><LHS>&lt;=(0,y)</LHS><RHS>true</RHS></RULE><RULE><LHS>&lt;=(s(x),0)</LHS><RHS>false</RHS></RULE><RULE><LHS>&lt;=(s(x),s(y))</LHS><RHS>&lt;=(x,y)</RHS></RULE><RULE><LHS>if(true,x,y)</LHS><RHS>x</RHS></RULE><RULE><LHS>if(false,x,y)</LHS><RHS>y</RHS></RULE><RULE><LHS>perfectp(0)</LHS><RHS>false</RHS></RULE><RULE><LHS>perfectp(s(x))</LHS><RHS>f(x,s(0),s(x),s(x))</RHS></RULE><RULE><LHS>f(0,y,0,u)</LHS><RHS>true</RHS></RULE><RULE><LHS>f(0,y,s(z),u)</LHS><RHS>false</RHS></RULE><RULE><LHS>f(s(x),0,z,u)</LHS><RHS>f(x,u,-(z,s(x)),u)</RHS></RULE><RULE><LHS>f(s(x),s(y),z,u)</LHS><RHS>if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY><PROPERTY criterion="sterm" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>-(x,0)</LHS><RHS>x</RHS></RULE><RULE><LHS>-(s(x),s(y))</LHS><RHS>-(x,y)</RHS></RULE><RULE><LHS>&lt;=(0,y)</LHS><RHS>true</RHS></RULE><RULE><LHS>&lt;=(s(x),0)</LHS><RHS>false</RHS></RULE><RULE><LHS>&lt;=(s(x),s(y))</LHS><RHS>&lt;=(x,y)</RHS></RULE><RULE><LHS>if(true,x,y)</LHS><RHS>x</RHS></RULE><RULE><LHS>if(false,x,y)</LHS><RHS>y</RHS></RULE><RULE><LHS>perfectp(0)</LHS><RHS>false</RHS></RULE><RULE><LHS>perfectp(s(x))</LHS><RHS>f(x,s(0),s(x),s(x))</RHS></RULE><RULE><LHS>f(0,y,0,u)</LHS><RHS>true</RHS></RULE><RULE><LHS>f(0,y,s(z),u)</LHS><RHS>false</RHS></RULE><RULE><LHS>f(s(x),0,z,u)</LHS><RHS>f(x,u,-(z,s(x)),u)</RHS></RULE><RULE><LHS>f(s(x),s(y),z,u)</LHS><RHS>if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_-(s(x),s(y))</LHS><RHS>Marked_-(x,y)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><PROJECTION><PROJ><SYMBOL><NAME>Marked_-</NAME></SYMBOL><INT>1</INT></PROJ></PROJECTION><STRICTPAIRS><DPLIST><DPRULE num="0"><LHS>Marked_-(s(x),s(y))</LHS><RHS>Marked_-(x,y)</RHS></DPRULE></DPLIST></STRICTPAIRS><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>-(x,0)</LHS><RHS>x</RHS></RULE><RULE><LHS>-(s(x),s(y))</LHS><RHS>-(x,y)</RHS></RULE><RULE><LHS>&lt;=(0,y)</LHS><RHS>true</RHS></RULE><RULE><LHS>&lt;=(s(x),0)</LHS><RHS>false</RHS></RULE><RULE><LHS>&lt;=(s(x),s(y))</LHS><RHS>&lt;=(x,y)</RHS></RULE><RULE><LHS>if(true,x,y)</LHS><RHS>x</RHS></RULE><RULE><LHS>if(false,x,y)</LHS><RHS>y</RHS></RULE><RULE><LHS>perfectp(0)</LHS><RHS>false</RHS></RULE><RULE><LHS>perfectp(s(x))</LHS><RHS>f(x,s(0),s(x),s(x))</RHS></RULE><RULE><LHS>f(0,y,0,u)</LHS><RHS>true</RHS></RULE><RULE><LHS>f(0,y,s(z),u)</LHS><RHS>false</RHS></RULE><RULE><LHS>f(s(x),0,z,u)</LHS><RHS>f(x,u,-(z,s(x)),u)</RHS></RULE><RULE><LHS>f(s(x),s(y),z,u)</LHS><RHS>if(&lt;=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROPERTY></PROPERTY></PROOF>
