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<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="2" unmarked="+"><NAME>Marked_+</NAME></SYMBOL><SYMBOL arity="1" unmarked="minus"><NAME>Marked_minus</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>+</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>minux</NAME></SYMBOL><SYMBOL arity="1" unmarked="minux"><NAME>Marked_minux</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>minus</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>z</VAR><VAR>y</VAR><VAR>x</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>minus(minus(x))</LHS><RHS>x</RHS></RULE><RULE><LHS>minux(+(x,y))</LHS><RHS>+(minus(y),minus(x))</RHS></RULE><RULE><LHS>+(minus(x),+(x,y))</LHS><RHS>y</RHS></RULE><RULE><LHS>+(+(x,y),minus(y))</LHS><RHS>x</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>minus(minus(x))</LHS><RHS>x</RHS></RULE><RULE><LHS>minux(+(x,y))</LHS><RHS>+(minus(y),minus(x))</RHS></RULE><RULE><LHS>+(minus(x),+(x,y))</LHS><RHS>y</RHS></RULE><RULE><LHS>+(+(x,y),minus(y))</LHS><RHS>x</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_minux(+(x,y))</LHS><RHS>Marked_+(minus(y),minus(x))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_minux(+(x,y))</LHS><RHS>Marked_minus(y)</RHS></DPRULE><DPRULE num="2"><LHS>Marked_minux(+(x,y))</LHS><RHS>Marked_minus(x)</RHS></DPRULE></DPLIST></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST><NONSCC num="0"><NODE ref="2"/></NONSCC><NONSCC num="1"><NODE ref="1"/></NONSCC><NONSCC num="2"><NODE ref="0"/></NONSCC></CCLIST></DAG></CRITERION></PROPERTY></PROPERTY></PROOF>
