# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X5))))=>s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funu_u_fmap(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),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),X5))),s(t_h4s_options_option(X2),h4s_options_some(s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X3))))),s(t_h4s_options_option(X2),h4s_options_none)))),file('i/f/finite_map/FLOOKUP__FUN__FMAP', ch4s_finiteu_u_maps_FLOOKUPu_u_FUNu_u_FMAP)).
fof(3, axiom,![X1]:![X8]:![X6]:![X9]:![X7]:![X10]:![X5]:((s(t_bool,X5)=s(t_bool,X10)&((p(s(t_bool,X10))=>s(X1,X7)=s(X1,X9))&(~(p(s(t_bool,X10)))=>s(X1,X6)=s(X1,X8))))=>s(X1,h4s_bools_cond(s(t_bool,X5),s(X1,X7),s(X1,X6)))=s(X1,h4s_bools_cond(s(t_bool,X10),s(X1,X9),s(X1,X8)))),file('i/f/finite_map/FLOOKUP__FUN__FMAP', ah4s_bools_CONDu_u_CONG)).
fof(4, 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/FLOOKUP__FUN__FMAP', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(8, axiom,![X2]:![X1]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X5))))=>(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funu_u_fmap(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),X5)))))=s(t_fun(X1,t_bool),X5)&![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X5))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_funu_u_fmap(s(t_fun(X1,X2),X4),s(t_fun(X1,t_bool),X5))),s(X1,X7)))=s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X7)))))),file('i/f/finite_map/FLOOKUP__FUN__FMAP', ah4s_finiteu_u_maps_FUNu_u_FMAPu_u_DEF)).
# SZS output end CNFRefutation
