# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:~(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)),file('i/f/finite_map/FDOM__F__FEMPTY1', ch4s_finiteu_u_maps_FDOMu_u_Fu_u_FEMPTY1)).
fof(4, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/finite_map/FDOM__F__FEMPTY1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(34, axiom,![X1]:![X2]:![X3]:(s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)),file('i/f/finite_map/FDOM__F__FEMPTY1', ah4s_finiteu_u_maps_FDOMu_u_EQu_u_EMPTY)).
fof(36, 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/FDOM__F__FEMPTY1', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(50, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/FDOM__F__FEMPTY1', aHLu_FALSITY)).
fof(74, axiom,(p(s(t_bool,f0))<=>![X12]:p(s(t_bool,X12))),file('i/f/finite_map/FDOM__F__FEMPTY1', ah4s_bools_Fu_u_DEF)).
fof(77, axiom,![X1]:![X12]:![X30]:(s(t_fun(X1,t_bool),X30)=s(t_fun(X1,t_bool),X12)<=>![X8]:s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X30)))=s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X12)))),file('i/f/finite_map/FDOM__F__FEMPTY1', ah4s_predu_u_sets_EXTENSION)).
fof(79, axiom,![X1]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/FDOM__F__FEMPTY1', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(80, axiom,![X1]:![X8]:![X19]:s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X19)))=s(t_bool,happ(s(t_fun(X1,t_bool),X19),s(X1,X8))),file('i/f/finite_map/FDOM__F__FEMPTY1', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
