# 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_bset(s(t_bool,X1),s(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_bset(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_bset(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__bset_c1', ch4s_DeepSyntaxs_inu_u_bsetu_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__bset_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(15, axiom,![X8]:![X4]:(~(?[X10]:p(s(t_bool,happ(s(t_fun(X8,t_bool),X4),s(X8,X10)))))<=>![X10]:~(p(s(t_bool,happ(s(t_fun(X8,t_bool),X4),s(X8,X10)))))),file('i/f/DeepSyntax/in__bset_c1', ah4s_bools_NOTu_u_EXISTSu_u_THM)).
fof(17, axiom,![X8]:![X21]:![X4]:(?[X10]:(p(s(t_bool,happ(s(t_fun(X8,t_bool),X4),s(X8,X10))))&p(s(t_bool,X21)))<=>(?[X10]:p(s(t_bool,happ(s(t_fun(X8,t_bool),X4),s(X8,X10))))&p(s(t_bool,X21)))),file('i/f/DeepSyntax/in__bset_c1', ah4s_bools_LEFTu_u_EXISTSu_u_ANDu_u_THM)).
fof(22, axiom,![X1]:![X2]:![X3]:s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_bset(s(t_bool,X1),s(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_bset(s(t_bool,X1),s(t_h4s_DeepSyntaxs_deepu_u_form,X3))),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_bset(s(t_bool,X1),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))))),file('i/f/DeepSyntax/in__bset_c1', ah4s_DeepSyntaxs_Bsetu_u_defu_c1)).
fof(23, axiom,![X8]:![X10]:![X9]:![X23]:(p(s(t_bool,h4s_bools_in(s(X8,X10),s(t_fun(X8,t_bool),h4s_predu_u_sets_union(s(t_fun(X8,t_bool),X23),s(t_fun(X8,t_bool),X9))))))<=>(p(s(t_bool,h4s_bools_in(s(X8,X10),s(t_fun(X8,t_bool),X23))))|p(s(t_bool,h4s_bools_in(s(X8,X10),s(t_fun(X8,t_bool),X9)))))),file('i/f/DeepSyntax/in__bset_c1', ah4s_predu_u_sets_INu_u_UNION)).
# SZS output end CNFRefutation
