# 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,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,f))),file('i/f/DeepSyntax/in__aset_c6', ch4s_DeepSyntaxs_inu_u_asetu_c6)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/DeepSyntax/in__aset_c6', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/DeepSyntax/in__aset_c6', aHLu_FALSITY)).
fof(19, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/DeepSyntax/in__aset_c6', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(20, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/DeepSyntax/in__aset_c6', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(34, axiom,![X7]:![X4]:![X5]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X5),s(X7,X4)))=s(X7,X4),file('i/f/DeepSyntax/in__aset_c6', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(41, axiom,![X20]:![X1]:s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X20),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,X20),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_c6', ah4s_DeepSyntaxs_Asetu_u_defu_c4)).
fof(42, axiom,![X7]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X7,X8),s(t_fun(X7,t_bool),h4s_predu_u_sets_empty))))),file('i/f/DeepSyntax/in__aset_c6', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
