# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty),s(t_fun(X1,t_bool),X3)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty),file('i/f/finite_map/DRESTRICT__FEMPTY', ch4s_finiteu_u_maps_DRESTRICTu_u_FEMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/DRESTRICT__FEMPTY', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/DRESTRICT__FEMPTY', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/finite_map/DRESTRICT__FEMPTY', aHLu_BOOLu_CASES)).
fof(15, axiom,![X2]:![X1]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/DRESTRICT__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(16, axiom,![X1]:![X2]:![X12]:![X13]:((s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12)))&![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13))))))=>s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13),s(X1,X7)))=s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12),s(X1,X7)))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X12)),file('i/f/finite_map/DRESTRICT__FEMPTY', ah4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(17, axiom,![X2]:![X1]:![X3]:![X13]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13),s(t_fun(X1,t_bool),X3)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X13))),s(t_fun(X1,t_bool),X3))),file('i/f/finite_map/DRESTRICT__FEMPTY', ah4s_finiteu_u_maps_DRESTRICTu_u_DEFu_c0)).
fof(18, axiom,![X1]:![X7]:~(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/DRESTRICT__FEMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(19, axiom,![X1]:![X14]:s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X14)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/DRESTRICT__FEMPTY', ah4s_predu_u_sets_INTERu_u_EMPTYu_c0)).
# SZS output end CNFRefutation
