# 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),X4),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),X4)))))))),file('i/f/finite_map/flookup__thm_c0', ch4s_finiteu_u_maps_flookupu_u_thmu_c0)).
fof(4, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/finite_map/flookup__thm_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(37, axiom,![X1]:![X2]:![X3]:![X4]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),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),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,X3))))),s(t_h4s_options_option(X2),h4s_options_none))),file('i/f/finite_map/flookup__thm_c0', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(39, axiom,![X1]:![X3]:![X20]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X20),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,X20)))),file('i/f/finite_map/flookup__thm_c0', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c0)).
fof(45, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,f0),s(X1,X7),s(X1,X6)))=s(X1,X6),file('i/f/finite_map/flookup__thm_c0', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
