# 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),happ(s(t_fun(X1,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(6, axiom,![X1]:![X11]:![X12]:s(X1,h4s_bools_cond(s(t_bool,f0),s(X1,X12),s(X1,X11)))=s(X1,X11),file('i/f/finite_map/FLOOKUP__FUN__FMAP', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X2]:![X7]:![X4]:s(t_h4s_options_option(X2),happ(s(t_fun(X1,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(31, axiom,![X1]:![X7]:![X20]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X20)))=s(t_bool,happ(s(t_fun(X1,t_bool),X20),s(X1,X7))),file('i/f/finite_map/FLOOKUP__FUN__FMAP', ah4s_bools_INu_u_DEF)).
fof(59, 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)).
fof(62, axiom,p(s(t_bool,t)),file('i/f/finite_map/FLOOKUP__FUN__FMAP', aHLu_TRUTH)).
fof(63, axiom,![X18]:(s(t_bool,X18)=s(t_bool,t)|s(t_bool,X18)=s(t_bool,f0)),file('i/f/finite_map/FLOOKUP__FUN__FMAP', aHLu_BOOLu_CASES)).
fof(75, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/FLOOKUP__FUN__FMAP', aHLu_FALSITY)).
# SZS output end CNFRefutation
