# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty),s(X1,X3)))=s(t_h4s_options_option(X2),h4s_options_none),file('i/f/finite_map/FLOOKUP__EMPTY', ch4s_finiteu_u_maps_FLOOKUPu_u_EMPTY)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/FLOOKUP__EMPTY', aHLu_FALSITY)).
fof(6, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X2]:![X1]:![X7]:![X10]:s(t_h4s_options_option(X1),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X10),s(X2,X7)))=s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X10))))),s(t_h4s_options_option(X1),h4s_options_some(s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X10),s(X2,X7))))),s(t_h4s_options_option(X1),h4s_options_none))),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(12, axiom,![X1]:![X2]:s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fempty)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(14, axiom,![X2]:![X7]:~(p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(15, axiom,![X2]:![X5]:![X6]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X6),s(X2,X5)))=s(X2,X5),file('i/f/finite_map/FLOOKUP__EMPTY', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
# SZS output end CNFRefutation
