# 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_pairs_fst(s(t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X1),t_h4s_pairs_prod(t_bool,t_bool)),h4s_wordss_addu_u_withu_u_carry(s(t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X1),t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X1),t_bool)),h4s_pairs_u_2c(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X1),t_bool),h4s_pairs_u_2c(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X2))),s(t_bool,t)))))))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_sub(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X2))))))),file('i/f/words/FST__ADD__WITH__CARRY_c3', ch4s_wordss_FSTu_u_ADDu_u_WITHu_u_CARRYu_c3)).
fof(4, axiom,![X1]:![X7]:![X3]:s(t_h4s_fcps_cart(t_bool,X1),h4s_pairs_fst(s(t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X1),t_h4s_pairs_prod(t_bool,t_bool)),h4s_wordss_addu_u_withu_u_carry(s(t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X1),t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X1),t_bool)),h4s_pairs_u_2c(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X1),t_bool),h4s_pairs_u_2c(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X1),X7))),s(t_bool,t)))))))))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_sub(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X7))),file('i/f/words/FST__ADD__WITH__CARRY_c3', ah4s_wordss_FSTu_u_ADDu_u_WITHu_u_CARRYu_c1)).
fof(7, axiom,![X4]:![X9]:![X10]:s(t_h4s_fcps_cart(t_bool,X4),h4s_wordss_wordu_u_sub(s(t_h4s_fcps_cart(t_bool,X4),X10),s(t_h4s_fcps_cart(t_bool,X4),X9)))=s(t_h4s_fcps_cart(t_bool,X4),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X4),X10),s(t_h4s_fcps_cart(t_bool,X4),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X4),X9))))),file('i/f/words/FST__ADD__WITH__CARRY_c3', ah4s_wordss_wordu_u_subu_u_def)).
fof(9, axiom,![X4]:![X3]:s(t_h4s_fcps_cart(t_bool,X4),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X4),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X4),X3)))))=s(t_h4s_fcps_cart(t_bool,X4),X3),file('i/f/words/FST__ADD__WITH__CARRY_c3', ah4s_wordss_WORDu_u_NOTu_u_NOT)).
fof(33, axiom,![X4]:![X7]:![X3]:s(t_h4s_fcps_cart(t_bool,X4),h4s_pairs_fst(s(t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X4),t_h4s_pairs_prod(t_bool,t_bool)),h4s_wordss_addu_u_withu_u_carry(s(t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X4),t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X4),t_bool)),h4s_pairs_u_2c(s(t_h4s_fcps_cart(t_bool,X4),X3),s(t_h4s_pairs_prod(t_h4s_fcps_cart(t_bool,X4),t_bool),h4s_pairs_u_2c(s(t_h4s_fcps_cart(t_bool,X4),X7),s(t_bool,f)))))))))=s(t_h4s_fcps_cart(t_bool,X4),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X4),X3),s(t_h4s_fcps_cart(t_bool,X4),X7))),file('i/f/words/FST__ADD__WITH__CARRY_c3', ah4s_wordss_FSTu_u_ADDu_u_WITHu_u_CARRYu_c0)).
# SZS output end CNFRefutation
