# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X2,X3),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_frange(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))))))<=>?[X5]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(X1,X5)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3)))),file('i/f/finite_map/IN__FRANGE__FLOOKUP', ch4s_finiteu_u_maps_INu_u_FRANGEu_u_FLOOKUP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/IN__FRANGE__FLOOKUP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/IN__FRANGE__FLOOKUP', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/finite_map/IN__FRANGE__FLOOKUP', aHLu_BOOLu_CASES)).
fof(7, axiom,![X1]:![X8]:![X7]:![X9]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X9),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X7))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X8)))<=>(p(s(t_bool,X9))&s(X1,X7)=s(X1,X8))),file('i/f/finite_map/IN__FRANGE__FLOOKUP', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c2)).
fof(8, axiom,![X1]:![X2]:![X7]:![X4]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(X1,X7)))=s(t_h4s_options_option(X2),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))))),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),X4),s(X1,X7))))),s(t_h4s_options_option(X2),h4s_options_none))),file('i/f/finite_map/IN__FRANGE__FLOOKUP', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(9, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X2,X3),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_frange(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))))))<=>?[X5]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))))))&s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(X1,X5)))=s(X2,X3))),file('i/f/finite_map/IN__FRANGE__FLOOKUP', ah4s_finiteu_u_maps_INu_u_FRANGE)).
# SZS output end CNFRefutation
