# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X4)))))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X3)))))<=>s(X2,X4)=s(X2,X3)),file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE', ch4s_finiteu_u_maps_FUPD11u_u_SAMEu_u_KEYu_u_ANDu_u_BASE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE', aHLu_TRUTH)).
fof(9, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(16, axiom,![X2]:![X1]:![X8]:![X6]:![X20]:![X21]:?[X22]:((p(s(t_bool,X22))<=>s(X1,X8)=s(X1,X21))&s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X21),s(X2,X20))))),s(X1,X8)))=s(X2,h4s_bools_cond(s(t_bool,X22),s(X2,X20),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X8)))))),file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE', ah4s_finiteu_u_maps_FAPPLYu_u_FUPDATEu_u_THM)).
fof(18, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE', aHLu_BOOLu_CASES)).
fof(19, axiom,![X1]:![X16]:![X17]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X17),s(X1,X16)))=s(X1,X17),file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(25, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE', aHLu_FALSITY)).
# SZS output end CNFRefutation
