# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(6, axiom,![X7]:![X11]:![X10]:![X8]:![X9]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X9)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X8)))=>(s(t_h4s_lists_list(X7),h4s_lists_append(s(t_h4s_lists_list(X7),X9),s(t_h4s_lists_list(X7),X10)))=s(t_h4s_lists_list(X7),h4s_lists_append(s(t_h4s_lists_list(X7),X8),s(t_h4s_lists_list(X7),X11)))<=>(s(t_h4s_lists_list(X7),X9)=s(t_h4s_lists_list(X7),X8)&s(t_h4s_lists_list(X7),X10)=s(t_h4s_lists_list(X7),X11)))),file('i/f/list/APPEND__11__LENGTH_c1', ah4s_lists_APPENDu_u_11u_u_LENGTHu_c0)).
fof(16, axiom,![X7]:![X10]:![X9]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),h4s_lists_append(s(t_h4s_lists_list(X7),X9),s(t_h4s_lists_list(X7),X10)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X9))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X10))))),file('i/f/list/APPEND__11__LENGTH_c1', ah4s_lists_LENGTHu_u_APPEND)).
fof(68, axiom,![X21]:![X42]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X42),s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X42))),file('i/f/list/APPEND__11__LENGTH_c1', ah4s_arithmetics_ADDu_u_SYM)).
fof(84, axiom,![X28]:![X21]:![X42]:(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X42),s(t_h4s_nums_num,X28)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X28)))<=>s(t_h4s_nums_num,X42)=s(t_h4s_nums_num,X21)),file('i/f/list/APPEND__11__LENGTH_c1', ah4s_arithmetics_EQu_u_MONOu_u_ADDu_u_EQ)).
fof(133, conjecture,![X7]:![X11]:![X10]:![X8]:![X9]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X10)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X11)))=>(s(t_h4s_lists_list(X7),h4s_lists_append(s(t_h4s_lists_list(X7),X9),s(t_h4s_lists_list(X7),X10)))=s(t_h4s_lists_list(X7),h4s_lists_append(s(t_h4s_lists_list(X7),X8),s(t_h4s_lists_list(X7),X11)))<=>(s(t_h4s_lists_list(X7),X9)=s(t_h4s_lists_list(X7),X8)&s(t_h4s_lists_list(X7),X10)=s(t_h4s_lists_list(X7),X11)))),file('i/f/list/APPEND__11__LENGTH_c1', ch4s_lists_APPENDu_u_11u_u_LENGTHu_c1)).
# SZS output end CNFRefutation
