# 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_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_xeq),s(t_h4s_integers_int,X1)))),file('i/f/DeepSyntax/deep__form__distinct_c23', ch4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c23)).
fof(14, 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_c23', ah4s_DeepSyntaxs_xEQ0)).
fof(21, axiom,![X11]:![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![X28]:![X5]:![X2]:s(X11,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,X11)),X5),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11)),X28),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11),X27),s(t_fun(t_bool,X11),X26),s(t_fun(t_h4s_integers_int,X11),X25),s(t_fun(t_h4s_integers_int,X11),X24),s(t_fun(t_h4s_integers_int,X11),X23),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X11)),X22)))=s(X11,happ(s(t_fun(t_h4s_integers_int,X11),X23),s(t_h4s_integers_int,X2))),file('i/f/DeepSyntax/deep__form__distinct_c23', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c6)).
fof(24, 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_c23', ah4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c22)).
fof(29, axiom,![X11]:![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![X28]:![X5]:![X2]:s(X11,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_xlt),s(t_h4s_integers_int,X2))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11)),X5),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11)),X28),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11),X27),s(t_fun(t_bool,X11),X26),s(t_fun(t_h4s_integers_int,X11),X25),s(t_fun(t_h4s_integers_int,X11),X24),s(t_fun(t_h4s_integers_int,X11),X23),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X11)),X22)))=s(X11,happ(s(t_fun(t_h4s_integers_int,X11),X25),s(t_h4s_integers_int,X2))),file('i/f/DeepSyntax/deep__form__distinct_c23', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c4)).
fof(30, 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_xlt),s(t_h4s_integers_int,X1)))<=>s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,X1)),file('i/f/DeepSyntax/deep__form__distinct_c23', ah4s_DeepSyntaxs_deepu_u_formu_u_11u_c4)).
fof(58, axiom,s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_ltx)=s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax5),file('i/f/DeepSyntax/deep__form__distinct_c23', ah4s_DeepSyntaxs_LTx0)).
# SZS output end CNFRefutation
