# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X3)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X4)))<=>(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))))&s(X2,happ(s(t_fun(X1,X2),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))),s(X1,X3)))=s(X2,X4))),file('i/f/finite_map/flookup__thm_c1', ch4s_finiteu_u_maps_flookupu_u_thmu_c1)).
fof(3, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/finite_map/flookup__thm_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(45, axiom,![X1]:![X6]:![X3]:(s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X6)))<=>s(X1,X3)=s(X1,X6)),file('i/f/finite_map/flookup__thm_c1', ah4s_options_SOMEu_u_11)).
fof(46, axiom,![X1]:![X2]:![X3]:![X5]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X3)))=s(t_h4s_options_option(X2),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X3),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,happ(s(t_fun(X1,X2),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))),s(X1,X3))))),s(t_h4s_options_option(X2),h4s_options_none))),file('i/f/finite_map/flookup__thm_c1', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(47, axiom,![X1]:![X2]:![X3]:![X5]:(s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X3)))=s(t_h4s_options_option(X2),h4s_options_none)<=>~(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5)))))))),file('i/f/finite_map/flookup__thm_c1', ah4s_finiteu_u_maps_flookupu_u_thmu_c0)).
fof(48, axiom,![X1]:![X7]:![X8]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X8),s(X1,X7)))=s(X1,X8),file('i/f/finite_map/flookup__thm_c1', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(58, axiom,![X1]:![X3]:![X21]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X21),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_none)<=>~(p(s(t_bool,X21)))),file('i/f/finite_map/flookup__thm_c1', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c0)).
fof(59, axiom,![X1]:![X3]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X3)))),file('i/f/finite_map/flookup__thm_c1', ah4s_options_NOTu_u_NONEu_u_SOME)).
# SZS output end CNFRefutation
