# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_h4s_finiteu_u_maps_fmap(X2,X3),h4s_finiteu_u_maps_ou_u_f(s(t_fun(X1,X3),X4),s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fempty)))=s(t_h4s_finiteu_u_maps_fmap(X2,X3),h4s_finiteu_u_maps_fempty),file('i/f/finite_map/o__f__FEMPTY', ch4s_finiteu_u_maps_ou_u_fu_u_FEMPTY)).
fof(15, axiom,![X3]:![X2]:s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X3),h4s_finiteu_u_maps_fempty)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/o__f__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(16, axiom,![X2]:![X3]:![X13]:![X4]:((s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X3),X4)))=s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X3),X13)))&![X8]:(p(s(t_bool,h4s_bools_in(s(X2,X8),s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X3),X4))))))=>s(X3,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X3),X4),s(X2,X8)))=s(X3,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X3),X13),s(X2,X8)))))<=>s(t_h4s_finiteu_u_maps_fmap(X2,X3),X4)=s(t_h4s_finiteu_u_maps_fmap(X2,X3),X13)),file('i/f/finite_map/o__f__FEMPTY', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(17, axiom,![X1]:![X2]:![X3]:![X13]:![X4]:s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_ou_u_f(s(t_fun(X3,X1),X4),s(t_h4s_finiteu_u_maps_fmap(X2,X3),X13)))))=s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X3),X13))),file('i/f/finite_map/o__f__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_ou_u_f)).
fof(18, axiom,![X2]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X2,X8),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/o__f__FEMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
