# 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_inj(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3))))))=>s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3)))))=s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X2,t_bool),X3)))),file('i/f/pred_set/inj__image__countable__IFF', ch4s_predu_u_sets_inju_u_imageu_u_countableu_u_IFF)).
fof(3, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/pred_set/inj__image__countable__IFF', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(39, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X2,t_bool),X3))))=>p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3))))))),file('i/f/pred_set/inj__image__countable__IFF', ah4s_predu_u_sets_imageu_u_countable)).
fof(40, axiom,![X1]:![X2]:![X12]:![X3]:![X4]:((p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X1,t_bool),X12))))&p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),X12)))))=>p(s(t_bool,h4s_predu_u_sets_countable(s(t_fun(X2,t_bool),X3))))),file('i/f/pred_set/inj__image__countable__IFF', ah4s_predu_u_sets_inju_u_countable)).
fof(59, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/inj__image__countable__IFF', aHLu_FALSITY)).
fof(69, axiom,![X12]:(s(t_bool,f0)=s(t_bool,X12)<=>~(p(s(t_bool,X12)))),file('i/f/pred_set/inj__image__countable__IFF', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
