# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_l)))=s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),file('i/f/integer_word/w2i__INT__MINw', ch4s_integeru_u_words_w2iu_u_INTu_u_MINw)).
fof(8, axiom,![X1]:s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))),file('i/f/integer_word/w2i__INT__MINw', ah4s_integeru_u_words_INTu_u_MIN0)).
fof(9, axiom,![X1]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_l)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/integer_word/w2i__INT__MINw', ah4s_wordss_wordu_u_Lu_u_def)).
fof(10, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))=s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),file('i/f/integer_word/w2i__INT__MINw', ah4s_wordss_dimwordu_u_subu_u_intu_u_min)).
fof(11, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/integer_word/w2i__INT__MINw', ah4s_wordss_INTu_u_MINu_u_LTu_u_DIMWORD)).
fof(12, axiom,![X1]:![X7]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,X7))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))))=>s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X7)))))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_nums_num,X7)))))))),file('i/f/integer_word/w2i__INT__MINw', ah4s_integeru_u_words_w2iu_u_n2wu_u_neg)).
fof(16, axiom,![X8]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X8)))),file('i/f/integer_word/w2i__INT__MINw', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
# SZS output end CNFRefutation
