# 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_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xeq),s(t_h4s_integers_int,X3)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_xdivided),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1)))),file('i/f/DeepSyntax/deep__form__distinct_c27', ch4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c27)).
fof(18, axiom,![X1]:![X2]:![X3]:~(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xlt),s(t_h4s_integers_int,X3)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_xdivided),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1)))),file('i/f/DeepSyntax/deep__form__distinct_c27', ah4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c24)).
fof(24, axiom,![X19]:![X1]:![X20]:![X2]:(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_xdivided),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_xdivided),s(t_h4s_integers_int,X20))),s(t_h4s_integers_int,X19)))<=>(s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X20)&s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,X19))),file('i/f/DeepSyntax/deep__form__distinct_c27', ah4s_DeepSyntaxs_deepu_u_formu_u_11u_c7)).
fof(25, axiom,![X12]:![X21]:![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![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_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_xdivided),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,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)),X27),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12),X26),s(t_fun(t_bool,X12),X25),s(t_fun(t_h4s_integers_int,X12),X24),s(t_fun(t_h4s_integers_int,X12),X23),s(t_fun(t_h4s_integers_int,X12),X22),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X12)),X21)))=s(X12,happ(s(t_fun(t_h4s_integers_int,X12),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X12)),X21),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X1))),file('i/f/DeepSyntax/deep__form__distinct_c27', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c7)).
fof(35, axiom,![X12]:![X21]:![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![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)),X27),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12),X26),s(t_fun(t_bool,X12),X25),s(t_fun(t_h4s_integers_int,X12),X24),s(t_fun(t_h4s_integers_int,X12),X23),s(t_fun(t_h4s_integers_int,X12),X22),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X12)),X21)))=s(X12,happ(s(t_fun(t_h4s_integers_int,X12),X22),s(t_h4s_integers_int,X3))),file('i/f/DeepSyntax/deep__form__distinct_c27', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c6)).
# SZS output end CNFRefutation
