# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty))))<=>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/fmap__rel__FEMPTY2_c1', ch4s_finiteu_u_maps_fmapu_u_relu_u_FEMPTY2u_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/fmap__rel__FEMPTY2_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/fmap__rel__FEMPTY2_c1', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f0)),file('i/f/finite_map/fmap__rel__FEMPTY2_c1', aHLu_BOOLu_CASES)).
fof(37, axiom,![X1]:![X2]:s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fempty)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/fmap__rel__FEMPTY2_c1', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(38, axiom,![X2]:![X1]:![X3]:(s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X3)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)<=>s(t_h4s_finiteu_u_maps_fmap(X2,X1),X3)=s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fempty)),file('i/f/finite_map/fmap__rel__FEMPTY2_c1', ah4s_finiteu_u_maps_FDOMu_u_EQu_u_EMPTY)).
fof(39, axiom,![X2]:![X1]:![X18]:![X19]:![X20]:![X4]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X2,t_fun(X1,t_bool)),X4),s(t_h4s_finiteu_u_maps_fmap(X18,X2),X20),s(t_h4s_finiteu_u_maps_fmap(X18,X1),X19))))<=>(s(t_fun(X18,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X18,X1),X19)))=s(t_fun(X18,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X18,X2),X20)))&![X8]:(p(s(t_bool,h4s_bools_in(s(X18,X8),s(t_fun(X18,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X18,X2),X20))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X4),s(X2,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X18,X2),X20),s(X18,X8))))),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X18,X1),X19),s(X18,X8))))))))),file('i/f/finite_map/fmap__rel__FEMPTY2_c1', ah4s_finiteu_u_maps_fmapu_u_relu_u_def)).
fof(41, 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/fmap__rel__FEMPTY2_c1', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
