# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer_word/word__0__w2i', aHLu_FALSITY)).
fof(7, axiom,![X7]:![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))))))=>s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,X9)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X9)))),file('i/f/integer_word/word__0__w2i', ah4s_integeru_u_words_w2iu_u_n2wu_u_pos)).
fof(38, axiom,![X7]:![X8]:(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X7),X8)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_fcps_cart(t_bool,X7),X8)=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/integer_word/word__0__w2i', ah4s_wordss_w2nu_u_equ_u_0)).
fof(52, axiom,![X9]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X9)))))),file('i/f/integer_word/word__0__w2i', ah4s_bits_ZEROu_u_LTu_u_TWOEXP)).
fof(67, axiom,![X9]:![X26]:(~(s(t_h4s_nums_num,X26)=s(t_h4s_nums_num,X9))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X26))),s(t_h4s_nums_num,X9))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,X26)))))),file('i/f/integer_word/word__0__w2i', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(71, axiom,![X9]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X9)))),file('i/f/integer_word/word__0__w2i', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(73, axiom,![X9]:![X26]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X26),s(t_h4s_nums_num,X9)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X26))))),file('i/f/integer_word/word__0__w2i', ah4s_arithmetics_NOTu_u_LESS)).
fof(75, axiom,![X7]:s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))),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/integer_word/word__0__w2i', ah4s_wordss_INTu_u_MINu_u_def)).
fof(80, axiom,![X9]:![X26]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X26),s(t_h4s_nums_num,X9)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X26))),s(t_h4s_nums_num,X9))),file('i/f/integer_word/word__0__w2i', ah4s_arithmetics_LESSu_u_EQ)).
fof(116, axiom,![X9]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer_word/word__0__w2i', ah4s_numerals_numeralu_u_ltu_c2)).
fof(128, axiom,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_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer_word/word__0__w2i', ah4s_arithmetics_ONE)).
fof(133, conjecture,![X7]:s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer_word/word__0__w2i', ch4s_integeru_u_words_wordu_u_0u_u_w2i)).
# SZS output end CNFRefutation
