# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X1),X2))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_bool,h4s_wordss_wordu_u_lt(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_nums_0))))),file('i/f/integer_word/w2i__lt__0', ch4s_integeru_u_words_w2iu_u_ltu_u_0)).
fof(8, axiom,![X1]:![X8]:![X9]:s(t_bool,h4s_wordss_wordu_u_lt(s(t_h4s_fcps_cart(t_bool,X1),X9),s(t_h4s_fcps_cart(t_bool,X1),X8)))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X1),X9))),s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X1),X8))))),file('i/f/integer_word/w2i__lt__0', ah4s_integeru_u_words_WORDu_u_LTi)).
fof(9, axiom,![X1]: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,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/w2i__lt__0', ah4s_integeru_u_words_wordu_u_0u_u_w2i)).
fof(10, axiom,![X1]:![X10]:((p(s(t_bool,h4s_integers_intu_u_le(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,X10))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_max(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_integeru_u_words_i2w(s(t_h4s_integers_int,X10)))))=s(t_h4s_integers_int,X10)),file('i/f/integer_word/w2i__lt__0', ah4s_integeru_u_words_w2iu_u_i2w)).
fof(11, axiom,![X1]:![X2]:?[X10]:(s(t_h4s_fcps_cart(t_bool,X1),X2)=s(t_h4s_fcps_cart(t_bool,X1),h4s_integeru_u_words_i2w(s(t_h4s_integers_int,X10)))&(p(s(t_bool,h4s_integers_intu_u_le(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,X10))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))))),file('i/f/integer_word/w2i__lt__0', ah4s_integeru_u_words_rangedu_u_intu_u_wordu_u_nchotomy)).
# SZS output end CNFRefutation
