# 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_wordss_wordu_u_mul(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_arithmetics_u_2b(s(t_h4s_nums_num,X3),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_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(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,X3))))),s(t_h4s_fcps_cart(t_bool,X1),X2))),file('i/f/words/WORD__MULT__SUC', ch4s_wordss_WORDu_u_MULTu_u_SUC)).
fof(25, axiom,![X1]:![X3]:![X19]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X19))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X3)))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X3))))),file('i/f/words/WORD__MULT__SUC', ah4s_wordss_wordu_u_addu_u_n2w)).
fof(28, axiom,![X1]:![X3]:![X19]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X19))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X3)))))=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,X19),s(t_h4s_nums_num,X3))))),file('i/f/words/WORD__MULT__SUC', ah4s_wordss_wordu_u_mulu_u_n2w)).
fof(29, axiom,![X1]:![X18]:?[X3]:(s(t_h4s_fcps_cart(t_bool,X1),X18)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X3)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))),file('i/f/words/WORD__MULT__SUC', ah4s_wordss_rangedu_u_wordu_u_nchotomy)).
fof(34, axiom,![X1]:![X18]:![X2]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X18)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_mul(s(t_h4s_fcps_cart(t_bool,X1),X18),s(t_h4s_fcps_cart(t_bool,X1),X2))),file('i/f/words/WORD__MULT__SUC', ah4s_wordss_WORDu_u_MULTu_u_COMM)).
fof(36, axiom,![X1]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X3))),file('i/f/words/WORD__MULT__SUC', ah4s_wordss_n2wu_u_mod)).
fof(54, axiom,![X3]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X19))),file('i/f/words/WORD__MULT__SUC', ah4s_arithmetics_ADDu_u_SYM)).
fof(67, axiom,![X16]:![X3]:![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X16))))),file('i/f/words/WORD__MULT__SUC', ah4s_arithmetics_RIGHTu_u_ADDu_u_DISTRIB)).
fof(74, axiom,![X3]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X3))),file('i/f/words/WORD__MULT__SUC', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(77, axiom,![X19]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X19)))=s(t_h4s_nums_num,X19),file('i/f/words/WORD__MULT__SUC', ah4s_arithmetics_MULTu_u_LEFTu_u_1)).
fof(81, 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/words/WORD__MULT__SUC', ah4s_arithmetics_ONE)).
# SZS output end CNFRefutation
