# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_conjn),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xeq),s(t_h4s_integers_int,X3)))),file('i/f/DeepSyntax/deep__form__distinct_c5', ch4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c5)).
fof(31, axiom,s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xeq)=s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax6),file('i/f/DeepSyntax/deep__form__distinct_c5', ah4s_DeepSyntaxs_xEQ0)).
fof(35, axiom,![X12]:![X35]:![X36]:![X37]:![X38]:![X39]:![X40]:![X41]:![X6]:![X3]:s(X12,h4s_deepsyntaxs_deepu_u_formu_u_case(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xeq),s(t_h4s_integers_int,X3))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X6),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X41),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12),X40),s(t_fun(t_bool,X12),X39),s(t_fun(t_h4s_integers_int,X12),X38),s(t_fun(t_h4s_integers_int,X12),X37),s(t_fun(t_h4s_integers_int,X12),X36),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X12)),X35)))=s(X12,happ(s(t_fun(t_h4s_integers_int,X12),X36),s(t_h4s_integers_int,X3))),file('i/f/DeepSyntax/deep__form__distinct_c5', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c6)).
fof(38, axiom,![X30]:![X1]:![X31]:![X2]:~(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_conjn),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_disjn),s(t_h4s_DeepSyntaxs_deepu_u_form,X31))),s(t_h4s_DeepSyntaxs_deepu_u_form,X30)))),file('i/f/DeepSyntax/deep__form__distinct_c5', ah4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c0)).
fof(41, axiom,![X12]:![X35]:![X36]:![X37]:![X38]:![X39]:![X40]:![X41]:![X6]:![X1]:![X2]:s(X12,h4s_deepsyntaxs_deepu_u_formu_u_case(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_conjn),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X6),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X41),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12),X40),s(t_fun(t_bool,X12),X39),s(t_fun(t_h4s_integers_int,X12),X38),s(t_fun(t_h4s_integers_int,X12),X37),s(t_fun(t_h4s_integers_int,X12),X36),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X12)),X35)))=s(X12,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X6),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1))),file('i/f/DeepSyntax/deep__form__distinct_c5', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c0)).
# SZS output end CNFRefutation
