# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)))),file('i/f/finite_map/FEVERY__FEMPTY', ch4s_finiteu_u_maps_FEVERYu_u_FEMPTY)).
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/finite_map/FEVERY__FEMPTY', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(29, axiom,![X2]:![X1]:![X21]:![X3]:(p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21))))<=>![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X8),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21),s(X1,X8)))))))))),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_finiteu_u_maps_FEVERYu_u_DEF)).
fof(30, axiom,![X1]:![X2]:![X21]:(![X20]:~(p(s(t_bool,h4s_bools_in(s(X1,X20),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21)))))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_Fu_u_FEMPTY1)).
fof(35, axiom,![X2]:![X1]:![X8]:![X21]:![X22]:![X20]:?[X23]:((p(s(t_bool,X23))<=>s(X1,X8)=s(X1,X20))&s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X20),s(X2,X22))))),s(X1,X8)))=s(X2,h4s_bools_cond(s(t_bool,X23),s(X2,X22),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X21),s(X1,X8)))))),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_finiteu_u_maps_FAPPLYu_u_FUPDATEu_u_THM)).
fof(53, axiom,![X1]:![X8]:![X3]:s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X3)))=s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X8))),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_predu_u_sets_SPECIFICATION)).
fof(55, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X5),s(X1,X4)))=s(X1,X4),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
fof(56, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X5),s(X1,X4)))=s(X1,X5),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(60, axiom,![X4]:![X5]:![X22]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X22),s(t_bool,X5),s(t_bool,X4))))<=>((~(p(s(t_bool,X22)))|p(s(t_bool,X5)))&(p(s(t_bool,X22))|p(s(t_bool,X4))))),file('i/f/finite_map/FEVERY__FEMPTY', ah4s_bools_CONDu_u_EXPAND)).
# SZS output end CNFRefutation
