# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))=s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))&![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))))))=>s(X2,happ(s(t_fun(X1,X2),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(X1,X5)))=s(X2,happ(s(t_fun(X1,X2),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))),s(X1,X5)))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)),file('i/f/finite_map/fmap__EQ__THM', ch4s_finiteu_u_maps_fmapu_u_EQu_u_THM)).
fof(20, axiom,![X1]:![X2]:![X3]:![X4]:((s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))=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,X2),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))=s(t_fun(X1,X2),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))<=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)),file('i/f/finite_map/fmap__EQ__THM', ah4s_finiteu_u_maps_fmapu_u_EQ)).
fof(21, axiom,![X16]:![X17]:![X4]:![X3]:(![X5]:s(X17,happ(s(t_fun(X16,X17),X4),s(X16,X5)))=s(X17,happ(s(t_fun(X16,X17),X3),s(X16,X5)))=>s(t_fun(X16,X17),X4)=s(t_fun(X16,X17),X3)),file('i/f/finite_map/fmap__EQ__THM', aHLu_EXT)).
fof(23, axiom,![X2]:![X1]:![X5]:![X4]:(~(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))))))=>s(X2,happ(s(t_fun(X1,X2),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(X1,X5)))=s(X2,happ(s(t_fun(X1,X2),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty))),s(X1,X5)))),file('i/f/finite_map/fmap__EQ__THM', ah4s_finiteu_u_maps_NOTu_u_FDOMu_u_FAPPLYu_u_FEMPTY)).
# SZS output end CNFRefutation
