# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))<=>![X5]:![X6]:(s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X5)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X6)))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X4),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X6)))))))),file('i/f/finite_map/FEVERY__ALL__FLOOKUP', ch4s_finiteu_u_maps_FEVERYu_u_ALLu_u_FLOOKUP)).
fof(10, axiom,![X2]:![X1]:![X3]:![X4]:(p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))<=>![X16]:(p(s(t_bool,h4s_bools_in(s(X1,X16),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X4),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X16),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X16)))))))))),file('i/f/finite_map/FEVERY__ALL__FLOOKUP', ah4s_finiteu_u_maps_FEVERYu_u_DEF)).
fof(11, axiom,![X1]:![X14]:![X16]:![X4]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X4),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X16))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X14)))<=>(p(s(t_bool,X4))&s(X1,X16)=s(X1,X14))),file('i/f/finite_map/FEVERY__ALL__FLOOKUP', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c2)).
fof(12, axiom,![X1]:![X2]:![X16]:![X3]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X16)))=s(t_h4s_options_option(X2),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X16),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))),s(t_h4s_options_option(X2),h4s_options_some(s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X16))))),s(t_h4s_options_option(X2),h4s_options_none))),file('i/f/finite_map/FEVERY__ALL__FLOOKUP', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
# SZS output end CNFRefutation
