# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X2,t_bool),X3))))<=>s(t_fun(X2,t_bool),X3)=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/SURJ__EMPTY_c0', ch4s_predu_u_sets_SURJu_u_EMPTYu_c0)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/SURJ__EMPTY_c0', aHLu_FALSITY)).
fof(16, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f0)<=>~(p(s(t_bool,X5)))),file('i/f/pred_set/SURJ__EMPTY_c0', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(17, axiom,![X1]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/SURJ__EMPTY_c0', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(19, axiom,![X1]:![X5]:![X3]:(s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),X5)<=>![X8]:s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X3)))=s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X5)))),file('i/f/pred_set/SURJ__EMPTY_c0', ah4s_predu_u_sets_EXTENSION)).
fof(20, axiom,![X1]:![X2]:![X5]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),X3),s(t_fun(X2,t_bool),X5))))<=>(![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X8))),s(t_fun(X2,t_bool),X5)))))&![X8]:(p(s(t_bool,h4s_bools_in(s(X2,X8),s(t_fun(X2,t_bool),X5))))=>?[X12]:(p(s(t_bool,h4s_bools_in(s(X1,X12),s(t_fun(X1,t_bool),X3))))&s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X12)))=s(X2,X8))))),file('i/f/pred_set/SURJ__EMPTY_c0', ah4s_predu_u_sets_SURJu_u_DEF)).
# SZS output end CNFRefutation
