# 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),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/EMPTY__DIFF', ch4s_predu_u_sets_EMPTYu_u_DIFF)).
fof(42, axiom,![X1]:![X7]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(X1,X7)))=s(t_bool,f),file('i/f/pred_set/EMPTY__DIFF', ah4s_predu_u_sets_EMPTYu_u_DEF)).
fof(43, axiom,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/EMPTY__DIFF', ah4s_predu_u_sets_INTERu_u_EMPTYu_c1)).
fof(50, axiom,![X1]:![X2]:(?[X7]:p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X2))))<=>~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))),file('i/f/pred_set/EMPTY__DIFF', ah4s_predu_u_sets_MEMBERu_u_NOTu_u_EMPTY)).
fof(58, axiom,![X1]:![X7]:![X22]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X22)))=s(t_bool,happ(s(t_fun(X1,t_bool),X22),s(X1,X7))),file('i/f/pred_set/EMPTY__DIFF', ah4s_bools_INu_u_DEF)).
fof(60, axiom,![X1]:![X7]:![X10]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X10))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X2))))&~(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X10))))))),file('i/f/pred_set/EMPTY__DIFF', ah4s_predu_u_sets_INu_u_DIFF)).
fof(65, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/EMPTY__DIFF', aHLu_FALSITY)).
# SZS output end CNFRefutation
