# 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_disjn),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_xlt),s(t_h4s_integers_int,X3)))),file('i/f/DeepSyntax/deep__form__distinct_c9', ch4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c9)).
fof(31, axiom,s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xlt)=s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax4),file('i/f/DeepSyntax/deep__form__distinct_c9', ah4s_DeepSyntaxs_xLT0)).
fof(36, axiom,![X11]:![X32]:![X33]:![X34]:![X35]:![X36]:![X37]:![X38]:![X6]:![X3]: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,X3))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11)),X6),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11)),X38),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11),X37),s(t_fun(t_bool,X11),X36),s(t_fun(t_h4s_integers_int,X11),X35),s(t_fun(t_h4s_integers_int,X11),X34),s(t_fun(t_h4s_integers_int,X11),X33),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X11)),X32)))=s(X11,happ(s(t_fun(t_h4s_integers_int,X11),X35),s(t_h4s_integers_int,X3))),file('i/f/DeepSyntax/deep__form__distinct_c9', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c4)).
fof(37, axiom,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_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax1),file('i/f/DeepSyntax/deep__form__distinct_c9', ah4s_DeepSyntaxs_Disjn0)).
fof(41, axiom,![X11]:![X32]:![X33]:![X34]:![X35]:![X36]:![X37]:![X38]:![X6]:![X1]:![X2]:s(X11,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_disjn),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,X11)),X6),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11)),X38),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11),X37),s(t_fun(t_bool,X11),X36),s(t_fun(t_h4s_integers_int,X11),X35),s(t_fun(t_h4s_integers_int,X11),X34),s(t_fun(t_h4s_integers_int,X11),X33),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X11)),X32)))=s(X11,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X11)),X38),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1))),file('i/f/DeepSyntax/deep__form__distinct_c9', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c1)).
fof(68, axiom,![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_c9', ah4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c5)).
# SZS output end CNFRefutation
