# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),X3))),s(X1,X2))))<=>?[X4]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),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)))))),file('i/f/pred_set/BIGUNION__applied', ch4s_predu_u_sets_BIGUNIONu_u_applied)).
fof(2, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/pred_set/BIGUNION__applied', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X1]:![X13]:![X14]:(?[X2]:(s(X1,X2)=s(X1,X13)&p(s(t_bool,happ(s(t_fun(X1,t_bool),X14),s(X1,X2)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X14),s(X1,X13))))),file('i/f/pred_set/BIGUNION__applied', ah4s_bools_UNWINDu_u_THM2)).
fof(42, axiom,![X1]:![X2]:![X27]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X27)))=s(t_bool,happ(s(t_fun(X1,t_bool),X27),s(X1,X2))),file('i/f/pred_set/BIGUNION__applied', ah4s_bools_INu_u_DEF)).
fof(51, axiom,![X1]:![X2]:![X3]:(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),X3))))))<=>?[X4]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),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)))))),file('i/f/pred_set/BIGUNION__applied', ah4s_predu_u_sets_INu_u_BIGUNION)).
# SZS output end CNFRefutation
