# 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),h4s_finiteu_u_maps_fempty),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/fmap__rel__FEMPTY2_c0', ch4s_finiteu_u_maps_fmapu_u_relu_u_FEMPTY2u_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', aHLu_TRUTH)).
fof(14, 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_c0', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(15, 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_c0', ah4s_finiteu_u_maps_FDOMu_u_EQu_u_EMPTY)).
fof(16, axiom,![X2]:![X1]:![X13]:![X14]:![X15]:![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(X13,X2),X15),s(t_h4s_finiteu_u_maps_fmap(X13,X1),X14))))<=>(s(t_fun(X13,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X13,X1),X14)))=s(t_fun(X13,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X13,X2),X15)))&![X8]:(p(s(t_bool,h4s_bools_in(s(X13,X8),s(t_fun(X13,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X13,X2),X15))))))=>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(X13,X2),X15),s(X13,X8))))),s(X1,h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X13,X1),X14),s(X13,X8))))))))),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', ah4s_finiteu_u_maps_fmapu_u_relu_u_def)).
fof(17, axiom,~(p(s(t_bool,f0))),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', aHLu_FALSITY)).
fof(21, 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_c0', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(22, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/finite_map/fmap__rel__FEMPTY2_c0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
