# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/DIFF__UNIV', ch4s_predu_u_sets_DIFFu_u_UNIV)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/DIFF__UNIV', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DIFF__UNIV', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/DIFF__UNIV', aHLu_BOOLu_CASES)).
fof(13, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/pred_set/DIFF__UNIV', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(14, axiom,![X1]:![X3]:![X2]:(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X3)<=>![X6]:s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/DIFF__UNIV', ah4s_predu_u_sets_EXTENSION)).
fof(15, axiom,![X1]:![X6]:~(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/DIFF__UNIV', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(16, axiom,![X1]:![X6]:p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/DIFF__UNIV', ah4s_predu_u_sets_INu_u_UNIV)).
fof(17, axiom,![X1]:![X6]:![X3]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X2))))&~(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X3))))))),file('i/f/pred_set/DIFF__UNIV', ah4s_predu_u_sets_INu_u_DIFF)).
# SZS output end CNFRefutation
