set(auto). assign(order, kbo). set(lex_order_vars). clauses(sos). f(x,x,y) = x # label(majority). f(x,y,z) = f(z,x,y) # label(2a). f(x,y,z) = f(x,z,y) # label(2b). f(f(x,w,y),w,z) = f(x,w,f(y,w,z)) # label(associativity). f(f(x,y,z),u,w) = f(f(x,u,w),f(y,u,w),f(z,u,w)) # label(dist_long). % f(f(x,y,z),u,w) = f(x, f(y,u,w),f(z,u,w)) # label(dist_short). % f(f(A,B,C),D,E) != f(f(A,D,E),f(B,D,E),f(C,D,E)) # answer(dist_long). f(f(A,B,C),D,E) != f(A, f(B,D,E),f(C,D,E)) # answer(dist_short). end_of_list.