# 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,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(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/flookup__thm_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/flookup__thm_c1', 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/flookup__thm_c1', aHLu_BOOLu_CASES)).
fof(7, axiom,![X1]:![X7]:![X3]:![X8]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X8),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_some(s(X1,X7)))<=>(p(s(t_bool,X8))&s(X1,X3)=s(X1,X7))),file('i/f/finite_map/flookup__thm_c1', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c2)).
fof(8, 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,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)).
# SZS output end CNFRefutation
