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+formulas(sos).
+ a(x,x)=x.
+ a(x,y)=a(y,x).
+ a(x,a(y,z))=a(a(x,y),z).
+end_of_list.
+
+formulas(goals).
+ all p all q (a(p,a(q,a(p,a(q,a(p,a(q,p))))))=a(p,q)).
+end_of_list.