# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((![X6]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_frange(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),X5),s(X2,X6)))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),X5),s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X3)))))))=>![X6]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_frange(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(t_h4s_pairs_prod(X1,X2),X3))))))))=>p(s(t_bool,happ(s(t_fun(X2,t_bool),X5),s(X2,X6)))))),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', ch4s_finiteu_u_maps_INu_u_FRANGEu_u_FUPDATEu_u_suff)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', aHLu_FALSITY)).
fof(8, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', aHLu_BOOLu_CASES)).
fof(14, axiom,![X2]:![X14]:~(p(s(t_bool,h4s_bools_in(s(X2,X14),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(15, axiom,![X2]:![X9]:![X19]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),X19),s(t_fun(X2,t_bool),X9))))<=>![X14]:(p(s(t_bool,h4s_bools_in(s(X2,X14),s(t_fun(X2,t_bool),X19))))=>p(s(t_bool,h4s_bools_in(s(X2,X14),s(t_fun(X2,t_bool),X9)))))),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(16, axiom,![X2]:![X14]:![X9]:![X19]:(p(s(t_bool,h4s_bools_in(s(X2,X14),s(t_fun(X2,t_bool),h4s_predu_u_sets_union(s(t_fun(X2,t_bool),X19),s(t_fun(X2,t_bool),X9))))))<=>(p(s(t_bool,h4s_bools_in(s(X2,X14),s(t_fun(X2,t_bool),X19))))|p(s(t_bool,h4s_bools_in(s(X2,X14),s(t_fun(X2,t_bool),X9)))))),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', ah4s_predu_u_sets_INu_u_UNION)).
fof(17, axiom,![X2]:![X12]:![X14]:![X19]:(p(s(t_bool,h4s_bools_in(s(X2,X14),s(t_fun(X2,t_bool),h4s_predu_u_sets_insert(s(X2,X12),s(t_fun(X2,t_bool),X19))))))<=>(s(X2,X14)=s(X2,X12)|p(s(t_bool,h4s_bools_in(s(X2,X14),s(t_fun(X2,t_bool),X19)))))),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', ah4s_predu_u_sets_INu_u_INSERT)).
fof(18, axiom,![X1]:![X2]:![X3]:![X4]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),h4s_finiteu_u_maps_frange(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(t_h4s_pairs_prod(X1,X2),X3))))),s(t_fun(X2,t_bool),h4s_predu_u_sets_union(s(t_fun(X2,t_bool),h4s_finiteu_u_maps_frange(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(t_fun(X2,t_bool),h4s_predu_u_sets_insert(s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X3))),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)))))))),file('i/f/finite_map/IN__FRANGE__FUPDATE__suff', ah4s_finiteu_u_maps_FRANGEu_u_FUPDATEu_u_SUBSET)).
# SZS output end CNFRefutation
