# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))&s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X4)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3))))=>s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X4)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3)))),file('i/f/finite_map/FLOOKUP__SUBMAP', ch4s_finiteu_u_maps_FLOOKUPu_u_SUBMAP)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/FLOOKUP__SUBMAP', aHLu_FALSITY)).
fof(24, axiom,![X1]:![X8]:![X9]:![X21]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X21),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X9))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X8)))<=>(p(s(t_bool,X21))&s(X1,X9)=s(X1,X8))),file('i/f/finite_map/FLOOKUP__SUBMAP', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c2)).
fof(25, axiom,![X1]:![X2]:![X9]:![X6]:s(t_h4s_options_option(X2),h4s_finiteu_u_maps_flookup(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X9)))=s(t_h4s_options_option(X2),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6))))),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),X6),s(X1,X9))))),s(t_h4s_options_option(X2),h4s_options_none))),file('i/f/finite_map/FLOOKUP__SUBMAP', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(26, axiom,![X2]:![X1]:![X5]:![X6]:(p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))<=>![X9]:(p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6))))))=>(p(s(t_bool,h4s_bools_in(s(X1,X9),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),X6),s(X1,X9)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X9)))))),file('i/f/finite_map/FLOOKUP__SUBMAP', ah4s_finiteu_u_maps_SUBMAPu_u_DEF)).
fof(27, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/finite_map/FLOOKUP__SUBMAP', aHLu_BOOLu_CASES)).
fof(29, axiom,![X1]:![X14]:![X15]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X15),s(X1,X14)))=s(X1,X15),file('i/f/finite_map/FLOOKUP__SUBMAP', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(31, axiom,p(s(t_bool,t)),file('i/f/finite_map/FLOOKUP__SUBMAP', aHLu_TRUTH)).
fof(33, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/finite_map/FLOOKUP__SUBMAP', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
