# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(?[X5]:(p(s(t_bool,h4s_bools_in(s(t_h4s_integers_int,X5),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X1),s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_disjn),s(t_h4s_DeepSyntaxs_deepu_u_form,X3))),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))))))))&p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X4),s(t_h4s_integers_int,X5)))))<=>(?[X5]:(p(s(t_bool,h4s_bools_in(s(t_h4s_integers_int,X5),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X1),s(t_h4s_DeepSyntaxs_deepu_u_form,X3))))))&p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X4),s(t_h4s_integers_int,X5)))))|?[X5]:(p(s(t_bool,h4s_bools_in(s(t_h4s_integers_int,X5),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X1),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))))))&p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X4),s(t_h4s_integers_int,X5))))))),file('i/f/DeepSyntax/in__aset_c1', ch4s_DeepSyntaxs_inu_u_asetu_c1)).
fof(2, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/DeepSyntax/in__aset_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(35, axiom,![X1]:![X2]:![X3]:s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X1),s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_disjn),s(t_h4s_DeepSyntaxs_deepu_u_form,X3))),s(t_h4s_DeepSyntaxs_deepu_u_form,X2)))))=s(t_fun(t_h4s_integers_int,t_bool),h4s_predu_u_sets_union(s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X1),s(t_h4s_DeepSyntaxs_deepu_u_form,X3))),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X1),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))))),file('i/f/DeepSyntax/in__aset_c1', ah4s_DeepSyntaxs_Asetu_u_defu_c1)).
fof(38, axiom,![X18]:![X10]:![X12]:![X28]:(p(s(t_bool,h4s_bools_in(s(X18,X10),s(t_fun(X18,t_bool),h4s_predu_u_sets_union(s(t_fun(X18,t_bool),X28),s(t_fun(X18,t_bool),X12))))))<=>(p(s(t_bool,h4s_bools_in(s(X18,X10),s(t_fun(X18,t_bool),X28))))|p(s(t_bool,h4s_bools_in(s(X18,X10),s(t_fun(X18,t_bool),X12)))))),file('i/f/DeepSyntax/in__aset_c1', ah4s_predu_u_sets_INu_u_UNION)).
# SZS output end CNFRefutation
