# 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(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/FAPPLY__FUPDATE__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/FAPPLY__FUPDATE__THM', aHLu_FALSITY)).
fof(11, axiom,![X2]:![X9]:![X10]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X10),s(X2,X9)))=s(X2,X10),file('i/f/finite_map/FAPPLY__FUPDATE__THM', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(12, axiom,![X2]:![X9]:![X10]:s(X2,h4s_bools_cond(s(t_bool,f0),s(X2,X10),s(X2,X9)))=s(X2,X9),file('i/f/finite_map/FAPPLY__FUPDATE__THM', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(13, axiom,![X2]:![X1]:![X11]:![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,X11))))),s(X2,X3)))=s(X1,X11),file('i/f/finite_map/FAPPLY__FUPDATE__THM', ah4s_finiteu_u_maps_FAPPLYu_u_FUPDATE)).
fof(14, axiom,![X1]:![X2]:![X11]:![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,X11))))),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)).
# SZS output end CNFRefutation
