# 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_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X6),s(t_h4s_finiteu_u_maps_fmap(X1,X2),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),X5))),s(X1,X4)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X3))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3))))))),file('i/f/finite_map/FEVERY__FLOOKUP', ch4s_finiteu_u_maps_FEVERYu_u_FLOOKUP)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/FEVERY__FLOOKUP', aHLu_FALSITY)).
fof(3, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(33, axiom,![X10]:(s(t_bool,X10)=s(t_bool,f0)<=>~(p(s(t_bool,X10)))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(51, axiom,![X1]:![X2]:![X14]:![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),X5))),s(X1,X14)))=s(t_h4s_options_option(X2),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X14),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))),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),X5),s(X1,X14))))),s(t_h4s_options_option(X2),h4s_options_none))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_finiteu_u_maps_FLOOKUPu_u_DEF)).
fof(57, axiom,![X1]:![X14]:![X31]:s(t_bool,h4s_bools_in(s(X1,X14),s(t_fun(X1,t_bool),X31)))=s(t_bool,happ(s(t_fun(X1,t_bool),X31),s(X1,X14))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_bools_INu_u_DEF)).
fof(59, axiom,![X2]:![X1]:![X5]:![X6]:(p(s(t_bool,h4s_finiteu_u_maps_fevery(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X6),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))<=>![X14]:(p(s(t_bool,h4s_bools_in(s(X1,X14),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X14),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(X1,X14)))))))))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_finiteu_u_maps_FEVERYu_u_DEF)).
fof(60, axiom,![X1]:![X2]:![X12]:![X14]:![X5]:(p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X14),s(X2,X12))))))))<=>(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),X5))),s(X1,X14)))=s(t_h4s_options_option(X2),h4s_options_none)|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),X5))),s(X1,X14)))=s(t_h4s_options_option(X2),h4s_options_some(s(X2,X12))))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_finiteu_u_maps_SUBMAPu_u_FUPDATEu_u_FLOOKUP)).
fof(63, axiom,![X1]:![X2]:![X12]:![X14]:![X5]:(p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X14),s(X2,X12))))))))<=>(~(p(s(t_bool,h4s_bools_in(s(X1,X14),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),X5),s(X1,X14)))=s(X2,X12)&p(s(t_bool,h4s_bools_in(s(X1,X14),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X5))))))))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_finiteu_u_maps_SUBMAPu_u_FUPDATEu_u_EQN)).
fof(69, axiom,![X1]:![X14]:![X6]:(s(t_h4s_options_option(X1),h4s_bools_cond(s(t_bool,X6),s(t_h4s_options_option(X1),h4s_options_some(s(X1,X14))),s(t_h4s_options_option(X1),h4s_options_none)))=s(t_h4s_options_option(X1),h4s_options_none)<=>~(p(s(t_bool,X6)))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_options_IFu_u_EQUALSu_u_OPTIONu_c0)).
fof(70, axiom,![X1]:![X14]:~(s(t_h4s_options_option(X1),h4s_options_none)=s(t_h4s_options_option(X1),h4s_options_some(s(X1,X14)))),file('i/f/finite_map/FEVERY__FLOOKUP', ah4s_options_NOTu_u_NONEu_u_SOME)).
# SZS output end CNFRefutation
