# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(X1,X3))),s(X1,X3)))=s(t_h4s_options_option(X2),h4s_options_none),file('i/f/finite_map/DOMSUB__FLOOKUP', ch4s_finiteu_u_maps_DOMSUBu_u_FLOOKUP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/DOMSUB__FLOOKUP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/DOMSUB__FLOOKUP', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/finite_map/DOMSUB__FLOOKUP', aHLu_BOOLu_CASES)).
fof(11, axiom,![X1]:![X2]:![X6]:![X11]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X11),s(X1,X6)))=s(t_h4s_options_option(X2),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X11))))),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),X11),s(X1,X6))))),s(t_h4s_options_option(X2),h4s_options_none))),file('i/f/finite_map/DOMSUB__FLOOKUP', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(12, axiom,![X2]:![X1]:![X3]:![X4]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(X1,X3)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(X1,X3))),file('i/f/finite_map/DOMSUB__FLOOKUP', ah4s_finiteu_u_maps_FDOMu_u_DOMSUB)).
fof(14, axiom,![X1]:![X7]:![X6]:![X16]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X16),s(X1,X7))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X16))))&~(s(X1,X6)=s(X1,X7)))),file('i/f/finite_map/DOMSUB__FLOOKUP', ah4s_predu_u_sets_INu_u_DELETE)).
fof(15, axiom,![X1]:![X9]:![X10]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X10),s(X1,X9)))=s(X1,X9),file('i/f/finite_map/DOMSUB__FLOOKUP', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
# SZS output end CNFRefutation
