# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))))))))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_strings_char,t_bool),X1),s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X2)))))))=>![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_strings_char,t_bool),X1),s(t_h4s_strings_char,X3))))),file('i/f/string/CHAR__INDUCT__THM', ch4s_strings_CHARu_u_INDUCTu_u_THM)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/string/CHAR__INDUCT__THM', aHLu_FALSITY)).
fof(25, axiom,![X8]:(s(t_bool,X8)=s(t_bool,f)<=>~(p(s(t_bool,X8)))),file('i/f/string/CHAR__INDUCT__THM', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(53, axiom,![X3]:?[X2]:(s(t_h4s_strings_char,X3)=s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X2)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))))))))))))),file('i/f/string/CHAR__INDUCT__THM', ah4s_strings_rangedu_u_charu_u_nchotomy)).
fof(66, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/string/CHAR__INDUCT__THM', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
