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+formulas(sos).
+ (x*(y*z)=(x*y)*z).
+ (x*I=x).
+ (x*inv(x)=I).
+end_of_list.
+
+formulas(goals).
+ all x (I*x=x).
+ all x (inv(inv(x))=x).
+ all x (inv(x)*x=I).
+ all x all y (x*y=y*x).
+end_of_list.