# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:(![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2))),X5))))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),t_bool),X3),s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2))),X5),s(X1,X6)))))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),t_bool),X3),s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),h4s_fmaptrees_construct(s(X2,X4),s(t_h4s_finiteu_u_maps_fmap(X1,t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2))),X5)))))))=>![X7]:(p(s(t_bool,h4s_fmaptrees_wf(s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),X7))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),t_bool),X3),s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),X7)))))),file('i/f/fmaptree/wf__ind', ch4s_fmaptrees_wfu_u_ind)).
fof(9, axiom,![X1]:![X2]:![X12]:(p(s(t_bool,h4s_fmaptrees_wf(s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),X12))))<=>![X3]:(![X21]:(?[X4]:?[X5]:(s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),X21)=s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),h4s_fmaptrees_construct(s(X2,X4),s(t_h4s_finiteu_u_maps_fmap(X1,t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2))),X5)))&![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2))),X5))))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),t_bool),X3),s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),h4s_finiteu_u_maps_fapply(s(t_h4s_finiteu_u_maps_fmap(X1,t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2))),X5),s(X1,X6))))))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),t_bool),X3),s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),X21)))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),t_bool),X3),s(t_fun(t_h4s_lists_list(X1),t_h4s_options_option(X2)),X12)))))),file('i/f/fmaptree/wf__ind', ah4s_fmaptrees_wfu_u_def)).
# SZS output end CNFRefutation
