# 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(X1,t_fun(X3,t_bool)),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/fmap__rel__FEMPTY', ch4s_finiteu_u_maps_fmapu_u_relu_u_FEMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/fmap__rel__FEMPTY', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/finite_map/fmap__rel__FEMPTY', aHLu_FALSITY)).
fof(13, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/finite_map/fmap__rel__FEMPTY', aHLu_BOOLu_CASES)).
fof(15, axiom,![X1]:![X3]:![X2]:![X13]:![X14]:![X4]:(p(s(t_bool,h4s_finiteu_u_maps_fmapu_u_rel(s(t_fun(X1,t_fun(X3,t_bool)),X4),s(t_h4s_finiteu_u_maps_fmap(X2,X1),X14),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)))=s(t_fun(X2,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X14)))&![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,X1),X14))))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X1,t_fun(X3,t_bool)),X4),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X14),s(X2,X8))))),s(X3,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X2,X3),X13),s(X2,X8))))))))),file('i/f/finite_map/fmap__rel__FEMPTY', ah4s_finiteu_u_maps_fmapu_u_relu_u_def)).
fof(16, axiom,![X3]:![X1]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X3),h4s_finiteu_u_maps_fempty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/fmap__rel__FEMPTY', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(18, 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/fmap__rel__FEMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
