# 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,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,X1))))),file('i/f/DeepSyntax/in__aset_c5', ch4s_DeepSyntaxs_inu_u_asetu_c5)).
fof(22, 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__aset_c5', ah4s_predu_u_sets_INu_u_SING)).
fof(23, axiom,![X21]:![X1]:s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(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_insert(s(t_h4s_integers_int,X1),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_empty))),file('i/f/DeepSyntax/in__aset_c5', ah4s_DeepSyntaxs_Asetu_u_defu_c4)).
fof(24, axiom,p(s(t_bool,t)),file('i/f/DeepSyntax/in__aset_c5', aHLu_TRUTH)).
fof(33, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/DeepSyntax/in__aset_c5', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(34, axiom,![X6]:![X4]:![X5]:s(X6,h4s_bools_cond(s(t_bool,t),s(X6,X5),s(X6,X4)))=s(X6,X5),file('i/f/DeepSyntax/in__aset_c5', ah4s_bools_CONDu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
