# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X8]:![X6]:![X4]:s(t_h4s_options_option(X8),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4),s(X7,X6)))=s(t_h4s_options_option(X8),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4))))),s(t_h4s_options_option(X8),h4s_options_some(s(X8,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X7,X8),X4),s(X7,X6))))),s(t_h4s_options_option(X8),h4s_options_none))),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(6, axiom,![X8]:![X7]:s(t_fun(X7,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X7,X8),h4s_finiteu_u_maps_fempty)))=s(t_fun(X7,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(21, axiom,![X7]:![X6]:~(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(58, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(60, axiom,![X7]:![X9]:![X10]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X10),s(X7,X9)))=s(X7,X9),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(77, axiom,![X7]:![X6]:![X13]:s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X13)))=s(t_bool,happ(s(t_fun(X7,t_bool),X13),s(X7,X6))),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_predu_u_sets_SPECIFICATION)).
fof(133, conjecture,![X8]:![X7]:![X41]:s(t_h4s_options_option(X7),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X8,X7),h4s_finiteu_u_maps_fempty),s(X8,X41)))=s(t_h4s_options_option(X7),h4s_options_none),file('i/f/finite_map/FLOOKUP__EMPTY', ch4s_finiteu_u_maps_FLOOKUPu_u_EMPTY)).
# SZS output end CNFRefutation
