# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_set),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_insert(s(t_h4s_nums_num,X1),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)))))=s(t_h4s_nums_num,X1),file('i/f/pred_set/SUM__SET__SING', ch4s_predu_u_sets_SUMu_u_SETu_u_SING)).
fof(30, axiom,s(t_h4s_nums_num,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_set),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/pred_set/SUM__SET__SING', ah4s_predu_u_sets_SUMu_u_SETu_u_THMu_c0)).
fof(31, axiom,![X4]:![X11]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X11))))=>s(t_h4s_nums_num,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_set),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_insert(s(t_h4s_nums_num,X4),s(t_fun(t_h4s_nums_num,t_bool),X11)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_set),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_delete(s(t_fun(t_h4s_nums_num,t_bool),X11),s(t_h4s_nums_num,X4)))))))),file('i/f/pred_set/SUM__SET__SING', ah4s_predu_u_sets_SUMu_u_SETu_u_THMu_c1)).
fof(38, axiom,![X23]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X23),file('i/f/pred_set/SUM__SET__SING', ah4s_arithmetics_ADDu_u_0)).
fof(63, axiom,![X2]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/SUM__SET__SING', ah4s_predu_u_sets_FINITEu_u_EMPTY)).
fof(81, axiom,![X2]:![X4]:s(t_fun(X2,t_bool),h4s_predu_u_sets_delete(s(t_fun(X2,t_bool),h4s_predu_u_sets_empty),s(X2,X4)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/SUM__SET__SING', ah4s_predu_u_sets_EMPTYu_u_DELETE)).
# SZS output end CNFRefutation
