# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mod(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(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_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/WORD__MOD__1', ch4s_wordss_WORDu_u_MODu_u_1)).
fof(7, axiom,![X1]:![X6]:![X7]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mod(s(t_h4s_fcps_cart(t_bool,X1),X7),s(t_h4s_fcps_cart(t_bool,X1),X6)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X7))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X6))))))),file('i/f/words/WORD__MOD__1', ah4s_wordss_wordu_u_modu_u_def)).
fof(8, axiom,![X1]:![X5]:s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X5)))))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/words/WORD__MOD__1', ah4s_wordss_w2nu_u_n2w)).
fof(9, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X8),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,h4s_nums_0),file('i/f/words/WORD__MOD__1', ah4s_arithmetics_MODu_u_1)).
fof(10, axiom,![X5]:![X8]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X5))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X8)),file('i/f/words/WORD__MOD__1', ah4s_arithmetics_LESSu_u_MOD)).
fof(11, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(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,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/WORD__MOD__1', ah4s_wordss_ONEu_u_LTu_u_dimword)).
# SZS output end CNFRefutation
