# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_fcps_cart(t_bool,X1),h4s_integeru_u_words_i2w(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer_word/i2w__0', ch4s_integeru_u_words_i2wu_u_0)).
fof(2, axiom,![X2]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X2))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X2))),file('i/f/integer_word/i2w__0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, axiom,![X1]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer_word/i2w__0', ah4s_wordss_WORDu_u_NEGu_u_0)).
fof(8, axiom,![X1]:![X9]:s(t_h4s_fcps_cart(t_bool,X1),h4s_integeru_u_words_i2w(s(t_h4s_integers_int,X9)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X9),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_integers_num(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X9))))))))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_integers_num(s(t_h4s_integers_int,X9))))))),file('i/f/integer_word/i2w__0', ah4s_integeru_u_words_i2wu_u_def)).
fof(9, axiom,![X7]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/integer_word/i2w__0', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(10, axiom,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_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/i2w__0', ah4s_integers_INTu_u_NEGu_u_0)).
fof(11, axiom,![X7]:![X8]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X7))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X8)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))),file('i/f/integer_word/i2w__0', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c0)).
fof(13, axiom,![X7]:s(t_h4s_nums_num,h4s_integers_num(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,X7),file('i/f/integer_word/i2w__0', ah4s_integers_NUMu_u_OFu_u_INT)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/integer_word/i2w__0', aHLu_FALSITY)).
fof(21, axiom,![X1]:![X2]:![X3]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X3),s(X1,X2)))=s(X1,X2),file('i/f/integer_word/i2w__0', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
# SZS output end CNFRefutation
