# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:?[X6]:((p(s(t_bool,X6))<=>s(X2,X4)=s(X2,X3))&s(t_h4s_options_option(X1),happ(s(t_fun(X2,t_h4s_options_option(X1)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X4))))),s(X2,X3)))=s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X6),s(t_h4s_options_option(X1),h4s_options_none),s(t_h4s_options_option(X1),happ(s(t_fun(X2,t_h4s_options_option(X1)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5))),s(X2,X3)))))),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', ch4s_finiteu_u_maps_DOMSUBu_u_FLOOKUPu_u_THM)).
fof(37, axiom,![X2]:![X12]:![X13]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X13),s(X2,X12)))=s(X2,X13),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(38, axiom,![X2]:![X12]:![X13]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X13),s(X2,X12)))=s(X2,X12),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(45, axiom,![X2]:![X11]:![X26]:(s(t_h4s_options_option(X2),h4s_bools_cond(s(t_bool,X26),s(t_h4s_options_option(X2),h4s_options_some(s(X2,X11))),s(t_h4s_options_option(X2),h4s_options_none)))=s(t_h4s_options_option(X2),h4s_options_none)<=>~(p(s(t_bool,X26)))),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c0)).
fof(50, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(~(s(X2,X4)=s(X2,X3))=>s(t_h4s_options_option(X1),happ(s(t_fun(X2,t_h4s_options_option(X1)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X4))))),s(X2,X3)))=s(t_h4s_options_option(X1),happ(s(t_fun(X2,t_h4s_options_option(X1)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5))),s(X2,X3)))),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', ah4s_finiteu_u_maps_DOMSUBu_u_FLOOKUPu_u_NEQ)).
fof(51, axiom,![X2]:![X1]:![X30]:![X5]:s(t_h4s_options_option(X1),happ(s(t_fun(X2,t_h4s_options_option(X1)),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X30))))),s(X2,X30)))=s(t_h4s_options_option(X1),h4s_options_none),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', ah4s_finiteu_u_maps_DOMSUBu_u_FLOOKUP)).
fof(68, axiom,![X2]:![X11]:~(s(t_h4s_options_option(X2),h4s_options_none)=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X11)))),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(73, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', aHLu_FALSITY)).
# SZS output end CNFRefutation
