# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_integeru_u_words_i2w(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X3))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X2)))))))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))),file('i/f/integer_word/word__mul__i2w__w2n', ch4s_integeru_u_words_wordu_u_mulu_u_i2wu_u_w2n)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/integer_word/word__mul__i2w__w2n', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, axiom,![X1]:![X10]:![X11]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),X11),s(t_h4s_fcps_cart(t_bool,X1),X10)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X11))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X10))))))),file('i/f/integer_word/word__mul__i2w__w2n', ah4s_wordss_wordu_u_mulu_u_def)).
fof(7, axiom,![X1]:![X12]:s(t_h4s_fcps_cart(t_bool,X1),h4s_integeru_u_words_i2w(s(t_h4s_integers_int,X12)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X12),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,X12))))))))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_integers_num(s(t_h4s_integers_int,X12))))))),file('i/f/integer_word/word__mul__i2w__w2n', ah4s_integeru_u_words_i2wu_u_def)).
fof(9, axiom,~(p(s(t_bool,f))),file('i/f/integer_word/word__mul__i2w__w2n', aHLu_FALSITY)).
fof(14, axiom,![X7]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(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_integers_int,X7)))=s(t_h4s_integers_int,X7),file('i/f/integer_word/word__mul__i2w__w2n', ah4s_integers_INTu_u_MULu_u_LID)).
fof(17, axiom,![X14]:![X15]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X15))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X14)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))))),file('i/f/integer_word/word__mul__i2w__w2n', ah4s_integers_INTu_u_MUL)).
fof(20, axiom,![X14]:![X15]: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,X14))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X15)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))),file('i/f/integer_word/word__mul__i2w__w2n', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c0)).
fof(21, axiom,![X14]: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,X14)))))=s(t_h4s_nums_num,X14),file('i/f/integer_word/word__mul__i2w__w2n', ah4s_integers_NUMu_u_OFu_u_INT)).
fof(26, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X5),s(X1,X4)))=s(X1,X4),file('i/f/integer_word/word__mul__i2w__w2n', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
fof(27, axiom,![X14]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/integer_word/word__mul__i2w__w2n', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
# SZS output end CNFRefutation
