# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))=>![X6]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X3))))=>s(X2,happ(s(t_fun(X1,X2),X5),s(X1,h4s_predu_u_sets_linv(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(X2,X6)))))=s(X2,X6))),file('i/f/pred_set/BIJ__LINV__INV', ch4s_predu_u_sets_BIJu_u_LINVu_u_INV)).
fof(3, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, axiom,![X1]:![X6]:![X12]:s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X12)))=s(t_bool,happ(s(t_fun(X1,t_bool),X12),s(X1,X6))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_bools_INu_u_DEF)).
fof(37, axiom,![X1]:![X26]:![X5]:(![X6]:(s(X1,X6)=s(X1,X26)=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X6)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X26))))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_bools_UNWINDu_u_FORALLu_u_THM2)).
fof(38, axiom,![X1]:![X27]:![X24]:(?[X6]:(s(X1,X6)=s(X1,X27)&p(s(t_bool,happ(s(t_fun(X1,t_bool),X24),s(X1,X6)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X24),s(X1,X27))))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_bools_UNWINDu_u_THM2)).
fof(48, axiom,![X2]:![X1]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))=>![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X4))))=>s(X1,h4s_predu_u_sets_linv(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(X2,happ(s(t_fun(X1,X2),X5),s(X1,X6)))))=s(X1,X6))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_predu_u_sets_LINVu_u_DEF)).
fof(55, axiom,![X2]:![X1]:![X13]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),h4s_predu_u_sets_image(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4))),s(X2,X13))))<=>?[X6]:(s(X2,X13)=s(X2,happ(s(t_fun(X1,X2),X5),s(X1,X6)))&p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_predu_u_sets_IMAGEu_u_applied)).
fof(59, axiom,![X1]:![X6]:~(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(60, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))<=>(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3)))))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_predu_u_sets_BIJu_u_DEF)).
fof(70, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))<=>s(t_fun(X2,t_bool),h4s_predu_u_sets_image(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4)))=s(t_fun(X2,t_bool),X3)),file('i/f/pred_set/BIJ__LINV__INV', ah4s_predu_u_sets_IMAGEu_u_SURJ)).
# SZS output end CNFRefutation
