# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/DeepSyntax/in__aset_c2', aHLu_TRUTH)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f0)),file('i/f/DeepSyntax/in__aset_c2', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X4]:?[X8]:((p(s(t_bool,X8))<=>~(p(s(t_bool,X7))))&s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X7),s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_negn),s(t_h4s_DeepSyntaxs_deepu_u_form,X4)))))=s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,X8),s(t_h4s_DeepSyntaxs_deepu_u_form,X4)))),file('i/f/DeepSyntax/in__aset_c2', ah4s_DeepSyntaxs_Asetu_u_defu_c2)).
fof(12, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/DeepSyntax/in__aset_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(50, axiom,![X24]:![X13]:![X9]:(?[X6]:(s(X24,X6)=s(X24,X13)&p(s(t_bool,happ(s(t_fun(X24,t_bool),X9),s(X24,X6)))))<=>p(s(t_bool,happ(s(t_fun(X24,t_bool),X9),s(X24,X13))))),file('i/f/DeepSyntax/in__aset_c2', ah4s_bools_UNWINDu_u_THM2)).
fof(70, axiom,s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_negn)=s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax2),file('i/f/DeepSyntax/in__aset_c2', ah4s_DeepSyntaxs_Negn0)).
fof(133, conjecture,![X4]:![X9]:(?[X13]:(p(s(t_bool,h4s_bools_in(s(t_h4s_integers_int,X13),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,t),s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_negn),s(t_h4s_DeepSyntaxs_deepu_u_form,X4))))))))&p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X9),s(t_h4s_integers_int,X13)))))<=>?[X13]:(p(s(t_bool,h4s_bools_in(s(t_h4s_integers_int,X13),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_aset(s(t_bool,f0),s(t_h4s_DeepSyntaxs_deepu_u_form,X4))))))&p(s(t_bool,happ(s(t_fun(t_h4s_integers_int,t_bool),X9),s(t_h4s_integers_int,X13)))))),file('i/f/DeepSyntax/in__aset_c2', ch4s_DeepSyntaxs_inu_u_asetu_c2)).
# SZS output end CNFRefutation
