# 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),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),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(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', aHLu_FALSITY)).
fof(12, axiom,![X2]:![X8]:![X9]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X9),s(X2,X8)))=s(X2,X9),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X2]:![X8]:![X9]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X9),s(X2,X8)))=s(X2,X8),file('i/f/finite_map/DOMSUB__FLOOKUP__THM', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(14, axiom,![X2]:![X1]:![X11]:![X5]:s(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,X11))),s(X2,X11)))=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(15, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(~(s(X2,X4)=s(X2,X3))=>s(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_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)).
# SZS output end CNFRefutation
