# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_h4s_strings_char),X1)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_lists_list(t_h4s_strings_char),X1)=s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_nil)),file('i/f/string/STRLEN__EQ__00', ch4s_strings_STRLENu_u_EQu_u_00)).
fof(8, axiom,![X2]:![X18]:(s(t_h4s_lists_list(X2),X18)=s(t_h4s_lists_list(X2),h4s_lists_nil)|?[X17]:?[X16]:s(t_h4s_lists_list(X2),X18)=s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X17),s(t_h4s_lists_list(X2),X16)))),file('i/f/string/STRLEN__EQ__00', ah4s_lists_listu_u_nchotomy)).
fof(10, axiom,![X20]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/string/STRLEN__EQ__00', ah4s_numerals_numeralu_u_distribu_c27)).
fof(11, axiom,![X2]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),h4s_lists_nil)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/string/STRLEN__EQ__00', ah4s_lists_LENGTH0u_c0)).
fof(12, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X20),file('i/f/string/STRLEN__EQ__00', ah4s_numerals_numeralu_u_distribu_c1)).
fof(13, axiom,![X20]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X20)))),file('i/f/string/STRLEN__EQ__00', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(15, axiom,![X2]:![X16]:![X17]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X17),s(t_h4s_lists_list(X2),X16)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X16))))),file('i/f/string/STRLEN__EQ__00', ah4s_lists_LENGTH0u_c1)).
fof(23, axiom,![X29]:![X30]:((p(s(t_bool,X30))=>p(s(t_bool,X29)))=>((p(s(t_bool,X29))=>p(s(t_bool,X30)))=>s(t_bool,X30)=s(t_bool,X29))),file('i/f/string/STRLEN__EQ__00', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(46, axiom,![X20]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X20))),file('i/f/string/STRLEN__EQ__00', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(47, axiom,![X20]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/string/STRLEN__EQ__00', ah4s_numerals_numeralu_u_lteu_c1)).
fof(51, axiom,![X20]:![X21]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X20)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,X21))))),file('i/f/string/STRLEN__EQ__00', ah4s_arithmetics_NOTu_u_LEQ)).
# SZS output end CNFRefutation
