# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_ltx),s(t_h4s_integers_int,X2)))=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,X1)))),file('i/f/DeepSyntax/deep__form__distinct_c25', ch4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c25)).
fof(24, axiom,![X13]:![X21]:![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![X5]:![X2]:s(X13,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,X2))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X13)),X5),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X13)),X27),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X13),X26),s(t_fun(t_bool,X13),X25),s(t_fun(t_h4s_integers_int,X13),X24),s(t_fun(t_h4s_integers_int,X13),X23),s(t_fun(t_h4s_integers_int,X13),X22),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X13)),X21)))=s(X13,happ(s(t_fun(t_h4s_integers_int,X13),X22),s(t_h4s_integers_int,X2))),file('i/f/DeepSyntax/deep__form__distinct_c25', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c6)).
fof(26, axiom,![X1]:![X2]:~(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,X2)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_ltx),s(t_h4s_integers_int,X1)))),file('i/f/DeepSyntax/deep__form__distinct_c25', ah4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c22)).
fof(32, axiom,![X13]:![X21]:![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![X5]:![X2]:s(X13,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_ltx),s(t_h4s_integers_int,X2))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X13)),X5),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X13)),X27),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X13),X26),s(t_fun(t_bool,X13),X25),s(t_fun(t_h4s_integers_int,X13),X24),s(t_fun(t_h4s_integers_int,X13),X23),s(t_fun(t_h4s_integers_int,X13),X22),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X13)),X21)))=s(X13,happ(s(t_fun(t_h4s_integers_int,X13),X23),s(t_h4s_integers_int,X2))),file('i/f/DeepSyntax/deep__form__distinct_c25', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c5)).
# SZS output end CNFRefutation
