# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(6, axiom,![X7]:![X11]:![X12]:![X13]:![X8]:s(t_h4s_lists_list(X7),h4s_encodes_encodeu_u_blist(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X12))),s(t_fun(X11,t_h4s_lists_list(X7)),X8),s(t_h4s_lists_list(X11),X13)))=s(t_h4s_lists_list(X7),h4s_lists_append(s(t_h4s_lists_list(X7),happ(s(t_fun(X11,t_h4s_lists_list(X7)),X8),s(X11,happ(s(t_fun(t_h4s_lists_list(X11),X11),h4s_lists_hd),s(t_h4s_lists_list(X11),X13))))),s(t_h4s_lists_list(X7),h4s_encodes_encodeu_u_blist(s(t_h4s_nums_num,X12),s(t_fun(X11,t_h4s_lists_list(X7)),X8),s(t_h4s_lists_list(X11),h4s_lists_tl(s(t_h4s_lists_list(X11),X13))))))),file('i/f/Encode/encode__blist__def__compute_c1', ah4s_Encodes_encodeu_u_blistu_u_defu_c1)).
fof(80, axiom,![X10]:![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X10))))),file('i/f/Encode/encode__blist__def__compute_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(82, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X12),file('i/f/Encode/encode__blist__def__compute_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(83, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/Encode/encode__blist__def__compute_c1', ah4s_arithmetics_BIT10)).
fof(84, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/Encode/encode__blist__def__compute_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(109, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/Encode/encode__blist__def__compute_c1', ah4s_primu_u_recs_PRE0u_c0)).
fof(125, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,h4s_nums_0))),file('i/f/Encode/encode__blist__def__compute_c1', ah4s_arithmetics_ONE)).
fof(127, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,X12),file('i/f/Encode/encode__blist__def__compute_c1', ah4s_arithmetics_SUCu_u_SUB1)).
fof(133, conjecture,![X7]:![X11]:![X12]:![X13]:![X8]:s(t_h4s_lists_list(X7),h4s_encodes_encodeu_u_blist(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),s(t_fun(X11,t_h4s_lists_list(X7)),X8),s(t_h4s_lists_list(X11),X13)))=s(t_h4s_lists_list(X7),h4s_lists_append(s(t_h4s_lists_list(X7),happ(s(t_fun(X11,t_h4s_lists_list(X7)),X8),s(X11,happ(s(t_fun(t_h4s_lists_list(X11),X11),h4s_lists_hd),s(t_h4s_lists_list(X11),X13))))),s(t_h4s_lists_list(X7),h4s_encodes_encodeu_u_blist(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_fun(X11,t_h4s_lists_list(X7)),X8),s(t_h4s_lists_list(X11),h4s_lists_tl(s(t_h4s_lists_list(X11),X13))))))),file('i/f/Encode/encode__blist__def__compute_c1', ch4s_Encodes_encodeu_u_blistu_u_defu_u_computeu_c1)).
# SZS output end CNFRefutation
