# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_log2(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__log2__1', ch4s_wordss_wordu_u_log2u_u_1)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/word__log2__1', aHLu_FALSITY)).
fof(8, axiom,![X4]:![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X5))),file('i/f/words/word__log2__1', ah4s_numerals_numeralu_u_distribu_c22)).
fof(9, axiom,![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/word__log2__1', ah4s_numerals_numeralu_u_ltu_c2)).
fof(10, axiom,![X1]:![X6]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_log2(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,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_bits_log2),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X6))))))),file('i/f/words/word__log2__1', ah4s_wordss_wordu_u_log2u_u_def)).
fof(12, axiom,![X1]:s(t_h4s_nums_num,h4s_wordss_w2n(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_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/words/word__log2__1', ah4s_wordss_wordu_u_1u_u_n2w)).
fof(13, axiom,![X7]:(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,X7))))=>s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_logroots_log(s(t_h4s_nums_num,X7))),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__log2__1', ah4s_logroots_LOGu_u_1)).
fof(14, axiom,![X4]:![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X5))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))))),file('i/f/words/word__log2__1', ah4s_numerals_numeralu_u_ltu_c5)).
fof(15, axiom,s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_bits_log2)=s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_logroots_log(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/words/word__log2__1', ah4s_bits_LOG2u_u_def)).
# SZS output end CNFRefutation
