# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X6),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))&s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X4)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3))))))),file('i/f/finite_map/FEVERY__FLOOKUP', ch4s_finiteu_u_maps_FEVERYu_u_FLOOKUP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/FEVERY__FLOOKUP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/FEVERY__FLOOKUP', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X11]:![X13]:![X6]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X6),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X13))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X11)))<=>(p(s(t_bool,X6))&s(X1,X13)=s(X1,X11))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c2)).
fof(7, axiom,![X2]:![X1]:![X5]:![X6]:(p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X6),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))<=>![X13]:(p(s(t_bool,h4s_bools_in(s(X1,X13),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X13),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X13)))))))))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_finiteu_u_maps_FEVERYu_u_DEF)).
fof(10, axiom,![X1]:![X2]:![X13]:![X5]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X13)))=s(t_h4s_options_option(X2),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X13),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))),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),X5),s(X1,X13))))),s(t_h4s_options_option(X2),h4s_options_none))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(11, axiom,![X17]:(s(t_bool,X17)=s(t_bool,t)|s(t_bool,X17)=s(t_bool,f0)),file('i/f/finite_map/FEVERY__FLOOKUP', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
