# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:?[X7]:((p(s(t_bool,X7))<=>s(X2,X3)=s(X2,X6))&s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X6),s(X1,X5))))),s(X2,X3)))=s(X1,h4s_bools_cond(s(t_bool,X7),s(X1,X5),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4),s(X2,X3)))))),file('i/f/finite_map/FAPPLY__FUPDATE__THM', ch4s_finiteu_u_maps_FAPPLYu_u_FUPDATEu_u_THM)).
fof(27, axiom,![X2]:![X11]:![X12]:s(X2,h4s_bools_cond(s(t_bool,f0),s(X2,X12),s(X2,X11)))=s(X2,X11),file('i/f/finite_map/FAPPLY__FUPDATE__THM', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(28, axiom,![X2]:![X11]:![X12]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X12),s(X2,X11)))=s(X2,X12),file('i/f/finite_map/FAPPLY__FUPDATE__THM', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(32, axiom,![X1]:![X2]:![X14]:![X3]:![X4]:![X6]:(~(s(X2,X6)=s(X2,X3))=>s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X3),s(X1,X14))))),s(X2,X6)))=s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4),s(X2,X6)))),file('i/f/finite_map/FAPPLY__FUPDATE__THM', ah4s_finiteu_u_maps_NOTu_u_EQu_u_FAPPLY)).
fof(34, axiom,![X2]:![X1]:![X14]:![X3]:![X4]:s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X4),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X3),s(X1,X14))))),s(X2,X3)))=s(X1,X14),file('i/f/finite_map/FAPPLY__FUPDATE__THM', ah4s_finiteu_u_maps_FAPPLYu_u_FUPDATE)).
fof(43, axiom,p(s(t_bool,t)),file('i/f/finite_map/FAPPLY__FUPDATE__THM', aHLu_TRUTH)).
fof(44, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/FAPPLY__FUPDATE__THM', aHLu_FALSITY)).
fof(73, axiom,![X2]:![X1]:![X14]:~(p(s(t_bool,h4s_sums_isl(s(t_h4s_sums_sum(X2,X1),h4s_sums_inr(s(X1,X14))))))),file('i/f/finite_map/FAPPLY__FUPDATE__THM', ah4s_sums_ISL0u_c1)).
fof(77, axiom,![X18]:(s(t_bool,X18)=s(t_bool,t)|s(t_bool,X18)=s(t_bool,f0)),file('i/f/finite_map/FAPPLY__FUPDATE__THM', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
