<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE PROOF SYSTEM "http://a3pat.ensiie.fr/pub/a3pat.dtd">
<PROOF><SIGNATURE><SYMBOLLIST><SYMBOL arity="1" unmarked=""><NAME>g</NAME></SYMBOL><SYMBOL arity="1" unmarked="f"><NAME>Marked_f</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>a</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>b</NAME></SYMBOL><SYMBOL arity="1" unmarked="b"><NAME>Marked_b</NAME></SYMBOL><SYMBOL arity="1" unmarked=""><NAME>f</NAME></SYMBOL></SYMBOLLIST><VARLIST><VAR>X</VAR></VARLIST></SIGNATURE><PROPERTY criterion="dp" prop="sntrs"><SYSTEM><REWSYS><RULE><LHS>f(f(X))</LHS><RHS>f(a(b(f(X))))</RHS></RULE><RULE><LHS>f(a(g(X)))</LHS><RHS>b(X)</RHS></RULE><RULE><LHS>b(X)</LHS><RHS>a(X)</RHS></RULE></REWSYS></SYSTEM><CRITERION/><PROPERTY criterion="weakgraph" prop="sndp"><SYSTEM><DPSYS><REWSYS><RULE><LHS>f(f(X))</LHS><RHS>f(a(b(f(X))))</RHS></RULE><RULE><LHS>f(a(g(X)))</LHS><RHS>b(X)</RHS></RULE><RULE><LHS>b(X)</LHS><RHS>a(X)</RHS></RULE></REWSYS><DPLIST><DPRULE num="0"><LHS>Marked_f(f(X))</LHS><RHS>Marked_f(a(b(f(X))))</RHS></DPRULE><DPRULE num="1"><LHS>Marked_f(f(X))</LHS><RHS>Marked_b(f(X))</RHS></DPRULE><DPRULE num="2"><LHS>Marked_f(a(g(X)))</LHS><RHS>Marked_b(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><EDGE end="0" start="2"/></DAG></CRITERION></PROPERTY></PROPERTY></PROOF>
