# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_disjoint(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))))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X4),s(t_fun(t_fun(X1,t_bool),t_bool),X3))))=>p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/DISJOINT__BIGUNION_c1', ch4s_predu_u_sets_DISJOINTu_u_BIGUNIONu_c1)).
fof(30, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))),file('i/f/pred_set/DISJOINT__BIGUNION_c1', ah4s_predu_u_sets_DISJOINTu_u_SYM)).
fof(35, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),X3))),s(t_fun(X1,t_bool),X2))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X4),s(t_fun(t_fun(X1,t_bool),t_bool),X3))))=>p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/DISJOINT__BIGUNION_c1', ah4s_predu_u_sets_DISJOINTu_u_BIGUNIONu_c0)).
fof(42, axiom,![X1]:![X7]:![X24]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X24)))=s(t_bool,happ(s(t_fun(X1,t_bool),X24),s(X1,X7))),file('i/f/pred_set/DISJOINT__BIGUNION_c1', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
