# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/DeepSyntax/in__bset_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__bset_c2', aHLu_BOOLu_CASES)).
fof(21, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/DeepSyntax/in__bset_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(30, axiom,![X9]:![X15]:![X11]:(?[X6]:(s(X9,X6)=s(X9,X15)&p(s(t_bool,happ(s(t_fun(X9,t_bool),X11),s(X9,X6)))))<=>p(s(t_bool,happ(s(t_fun(X9,t_bool),X11),s(X9,X15))))),file('i/f/DeepSyntax/in__bset_c2', ah4s_bools_UNWINDu_u_THM2)).
fof(46, axiom,![X20]:![X4]:?[X23]:((p(s(t_bool,X23))<=>~(p(s(t_bool,X20))))&s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_bset(s(t_bool,X20),s(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_bset(s(t_bool,X23),s(t_h4s_DeepSyntaxs_deepu_u_form,X4)))),file('i/f/DeepSyntax/in__bset_c2', ah4s_DeepSyntaxs_Bsetu_u_defu_c2)).
fof(52, conjecture,![X4]:![X11]:(?[X24]:(p(s(t_bool,h4s_bools_in(s(t_h4s_integers_int,X24),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_bset(s(t_bool,t),s(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),X11),s(t_h4s_integers_int,X24)))))<=>?[X24]:(p(s(t_bool,h4s_bools_in(s(t_h4s_integers_int,X24),s(t_fun(t_h4s_integers_int,t_bool),h4s_deepsyntaxs_bset(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),X11),s(t_h4s_integers_int,X24)))))),file('i/f/DeepSyntax/in__bset_c2', ch4s_DeepSyntaxs_inu_u_bsetu_c2)).
# SZS output end CNFRefutation
