# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(?[X3]:(p(s(t_bool,h4s_bools_in(s(t_h4s_integers_int,X3),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,t),s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xeq),s(t_h4s_integers_int,X1))))))))&p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X2),s(t_h4s_integers_int,X3)))))<=>p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X2),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))),file('i/f/DeepSyntax/in__aset_c9', ch4s_DeepSyntaxs_inu_u_asetu_c9)).
fof(31, axiom,![X4]:![X15]:![X6]:(p(s(t_bool,h4s_bools_in(s(X4,X6),s(t_fun(X4,t_bool),h4s_predu_u_sets_insert(s(X4,X15),s(t_fun(X4,t_bool),h4s_predu_u_sets_empty))))))<=>s(X4,X6)=s(X4,X15)),file('i/f/DeepSyntax/in__aset_c9', ah4s_predu_u_sets_INu_u_SING)).
fof(34, axiom,![X25]:![X1]:s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X25),s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xeq),s(t_h4s_integers_int,X1)))))=s(t_fun(t_h4s_integers_int,t_bool),h4s_bools_cond(s(t_bool,X25),s(t_fun(t_h4s_integers_int,t_bool),h4s_predu_u_sets_insert(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_fun(t_h4s_integers_int,t_bool),h4s_predu_u_sets_empty))),s(t_fun(t_h4s_integers_int,t_bool),h4s_predu_u_sets_insert(s(t_h4s_integers_int,X1),s(t_fun(t_h4s_integers_int,t_bool),h4s_predu_u_sets_empty))))),file('i/f/DeepSyntax/in__aset_c9', ah4s_DeepSyntaxs_Asetu_u_defu_c6)).
fof(36, axiom,p(s(t_bool,t)),file('i/f/DeepSyntax/in__aset_c9', aHLu_TRUTH)).
fof(40, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/DeepSyntax/in__aset_c9', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(53, axiom,![X4]:![X7]:![X8]:s(X4,h4s_bools_cond(s(t_bool,t),s(X4,X8),s(X4,X7)))=s(X4,X8),file('i/f/DeepSyntax/in__aset_c9', ah4s_bools_CONDu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
