# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)<=>(p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))&s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))),file('i/f/finite_map/EQ__FDOM__SUBMAP', ch4s_finiteu_u_maps_EQu_u_FDOMu_u_SUBMAP)).
fof(15, axiom,![X2]:![X1]:![X3]:![X4]:(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)<=>(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))&![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),X4))))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(X1,X14)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X14)))))),file('i/f/finite_map/EQ__FDOM__SUBMAP', ah4s_finiteu_u_maps_fmapu_u_EXT)).
fof(16, axiom,![X2]:![X1]:![X3]:![X4]:(p(s(t_bool,h4s_finiteu_u_maps_submap(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))<=>![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),X4))))))=>(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),X3))))))&s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4),s(X1,X14)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(X1,X14)))))),file('i/f/finite_map/EQ__FDOM__SUBMAP', ah4s_finiteu_u_maps_SUBMAPu_u_DEF)).
# SZS output end CNFRefutation
