# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X2),s(t_fun(t_fun(X1,t_bool),t_bool),X3))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),X3))))))),file('i/f/pred_set/SUBSET__BIGUNION__I', ch4s_predu_u_sets_SUBSETu_u_BIGUNIONu_u_I)).
fof(35, axiom,![X1]:![X6]:![X21]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X21),s(t_fun(X1,t_bool),X6))))<=>![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X21))))=>p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X6)))))),file('i/f/pred_set/SUBSET__BIGUNION__I', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(39, axiom,![X1]:![X2]:![X22]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),X22))))))<=>?[X21]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X21))))&p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X21),s(t_fun(t_fun(X1,t_bool),t_bool),X22)))))),file('i/f/pred_set/SUBSET__BIGUNION__I', ah4s_predu_u_sets_INu_u_BIGUNION)).
fof(41, axiom,![X1]:![X2]:![X23]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X23)))=s(t_bool,happ(s(t_fun(X1,t_bool),X23),s(X1,X2))),file('i/f/pred_set/SUBSET__BIGUNION__I', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
