# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))<=>(p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/union__countable__IFF', ch4s_predu_u_sets_unionu_u_countableu_u_IFF)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/pred_set/union__countable__IFF', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(13, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,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),X3)))))=>p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/union__countable__IFF', ah4s_predu_u_sets_subsetu_u_countable)).
fof(14, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X2)))))=>p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/union__countable__IFF', ah4s_predu_u_sets_unionu_u_countable)).
fof(15, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/union__countable__IFF', ah4s_predu_u_sets_SUBSETu_u_UNIONu_c0)).
fof(16, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/union__countable__IFF', ah4s_predu_u_sets_SUBSETu_u_UNIONu_c1)).
# SZS output end CNFRefutation
