# 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_bset(s(t_bool,f),s(t_h4s_DeepSyntaxs_deepu_u_form,h4s_deepsyntaxs_xlt(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_neg(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__bset_c6', ch4s_DeepSyntaxs_inu_u_bsetu_c6)).
fof(21, axiom,![X6]:![X14]:![X8]:(p(s(t_bool,h4s_bools_in(s(X6,X8),s(t_fun(X6,t_bool),h4s_predu_u_sets_insert(s(X6,X14),s(t_fun(X6,t_bool),h4s_predu_u_sets_empty))))))<=>s(X6,X8)=s(X6,X14)),file('i/f/DeepSyntax/in__bset_c6', ah4s_predu_u_sets_INu_u_SING)).
fof(22, axiom,![X21]:![X1]:s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_bset(s(t_bool,X21),s(t_h4s_DeepSyntaxs_deepu_u_form,h4s_deepsyntaxs_xlt(s(t_h4s_integers_int,X1)))))=s(t_fun(t_h4s_integers_int,t_bool),h4s_bools_cond(s(t_bool,X21),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,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(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))))),file('i/f/DeepSyntax/in__bset_c6', ah4s_DeepSyntaxs_Bsetu_u_defu_c4)).
fof(34, axiom,![X6]:![X4]:![X5]:s(X6,h4s_bools_cond(s(t_bool,f),s(X6,X5),s(X6,X4)))=s(X6,X4),file('i/f/DeepSyntax/in__bset_c6', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(35, axiom,p(s(t_bool,t)),file('i/f/DeepSyntax/in__bset_c6', aHLu_TRUTH)).
fof(44, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/DeepSyntax/in__bset_c6', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
