# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:![X4]:![X15]:s(X7,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),h4s_deepsyntaxs_negn),s(t_h4s_DeepSyntaxs_deepu_u_form,X15))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7)),X4),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7)),X14),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7),X13),s(t_fun(t_bool,X7),X12),s(t_fun(t_h4s_integers_int,X7),X11),s(t_fun(t_h4s_integers_int,X7),X10),s(t_fun(t_h4s_integers_int,X7),X9),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X7)),X8)))=s(X7,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7),X13),s(t_h4s_DeepSyntaxs_deepu_u_form,X15))),file('i/f/DeepSyntax/deep__form__11_c2', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c2)).
fof(8, axiom,s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_negn)=s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax2),file('i/f/DeepSyntax/deep__form__11_c2', ah4s_DeepSyntaxs_Negn0)).
fof(111, axiom,![X7]:s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_cons)=s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_u_20u_40indu_u_typelist1),file('i/f/DeepSyntax/deep__form__11_c2', ah4s_lists_CONS0)).
fof(118, axiom,![X7]:![X1]:![X54]:s(X7,h4s_lists_hd(s(t_h4s_lists_list(X7),happ(s(t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7)),happ(s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_cons),s(X7,X54))),s(t_h4s_lists_list(X7),X1)))))=s(X7,X54),file('i/f/DeepSyntax/deep__form__11_c2', ah4s_lists_HD0)).
fof(133, conjecture,![X63]:![X15]:(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_negn),s(t_h4s_DeepSyntaxs_deepu_u_form,X15)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_negn),s(t_h4s_DeepSyntaxs_deepu_u_form,X63)))<=>s(t_h4s_DeepSyntaxs_deepu_u_form,X15)=s(t_h4s_DeepSyntaxs_deepu_u_form,X63)),file('i/f/DeepSyntax/deep__form__11_c2', ch4s_DeepSyntaxs_deepu_u_formu_u_11u_c2)).
# SZS output end CNFRefutation
