<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="2" unmarked="."><NAME>Marked_.</NAME></SYMBOL><SYMBOL arity="0" unmarked=""><NAME>1</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>i</NAME></SYMBOL><SYMBOL arity="1" unmarked="i"><NAME>Marked_i</NAME></SYMBOL><SYMBOL arity="2" unmarked=""><NAME>.</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>z</VAR><VAR>y</VAR><VAR>x</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>.(1,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>.(x,1)</LHS><RHS>x</RHS></RULE><RULE><LHS>.(i(x),x)</LHS><RHS>1</RHS></RULE><RULE><LHS>.(x,i(x))</LHS><RHS>1</RHS></RULE><RULE><LHS>i(1)</LHS><RHS>1</RHS></RULE><RULE><LHS>i(i(x))</LHS><RHS>x</RHS></RULE><RULE><LHS>.(i(y),.(y,z))</LHS><RHS>z</RHS></RULE><RULE><LHS>.(y,.(i(y),z))</LHS><RHS>z</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>.(1,x)</LHS><RHS>x</RHS></RULE><RULE><LHS>.(x,1)</LHS><RHS>x</RHS></RULE><RULE><LHS>.(i(x),x)</LHS><RHS>1</RHS></RULE><RULE><LHS>.(x,i(x))</LHS><RHS>1</RHS></RULE><RULE><LHS>i(1)</LHS><RHS>1</RHS></RULE><RULE><LHS>i(i(x))</LHS><RHS>x</RHS></RULE><RULE><LHS>.(i(y),.(y,z))</LHS><RHS>z</RHS></RULE><RULE><LHS>.(y,.(i(y),z))</LHS><RHS>z</RHS></RULE></REWSYS><DPLIST/></DPSYS></SYSTEM><CRITERION><DAG approx="simpl"><CCLIST/></DAG></CRITERION></PROPERTY></PROPERTY></PROOF>
