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% COMMAND-LINE: --uf-ho --full-saturate-quant --ho-elim-store-ax
% COMMAND-LINE: --uf-ho --full-saturate-quant --ho-elim
% EXPECT: % SZS status Theorem for store-ax-min
thf(a, type, (a: $i)).
thf(b, type, (b: $i)).
%% thf(blah1, axiom, ( ! [X: $i, Y: $i] : (X = Y))).
thf(blah2, axiom, ( ~ (a = b))).
%% thf(storeax, axiom, (
%% ! [F : $i > $i, D : $i, R : $i] :
%% (
%% ? [G : $i > $i] :
%% (
%% ! [X : $i] :
%% (
%% (G @ X) = $ite( X = D, R, F @ X)
%% )
%% )
%% )
%% (~ (X = Y)))
%% ).
thf(blah, conjecture, ( ? [F : $i > $i, G : $i > $i] : (~ (F = G)))).
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