# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(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,t_h4s_ones_one),h4s_wordss_wordu_u_or(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X2))),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X1)))))|~((~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X2))),s(t_h4s_nums_num,h4s_nums_0)))))|~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X1))),s(t_h4s_nums_num,h4s_nums_0)))))))),file('i/f/HolSmt/t025', ch4s_HolSmts_t025)).
fof(40, axiom,![X2]:(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X2))),s(t_h4s_nums_num,h4s_nums_0)))))=>s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(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,t_h4s_ones_one),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X2)))),file('i/f/HolSmt/t025', ah4s_HolSmts_t023)).
fof(44, axiom,![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X2))),s(t_h4s_nums_num,h4s_nums_0))))=>s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(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,t_h4s_ones_one),X2)),file('i/f/HolSmt/t025', ah4s_HolSmts_t021)).
fof(45, axiom,![X2]:(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X2))),s(t_h4s_nums_num,h4s_nums_0)))))=>s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X2)),file('i/f/HolSmt/t025', ah4s_HolSmts_t022)).
fof(49, axiom,![X11]:![X26]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X26),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X11),h4s_bools_theu_u_value))))))=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X11),t_fun(t_h4s_nums_num,t_bool)),h4s_fcps_fcpu_u_index),s(t_h4s_fcps_cart(t_bool,X11),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))),s(t_h4s_nums_num,X26)))))),file('i/f/HolSmt/t025', ah4s_wordss_wordu_u_0)).
fof(54, axiom,![X29]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X29),s(t_h4s_nums_num,X29)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/HolSmt/t025', ah4s_arithmetics_SUBu_u_EQUALu_u_0)).
fof(55, axiom,![X11]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X11),h4s_bools_theu_u_value)))))),file('i/f/HolSmt/t025', ah4s_wordss_DIMINDEXu_u_GTu_u_0)).
fof(57, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/HolSmt/t025', ah4s_numerals_numeralu_u_distribu_c13)).
fof(64, axiom,![X1]:![X2]:(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(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,t_h4s_ones_one),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X2),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),X1)))<=>(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(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,t_h4s_ones_one),X1)&s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),h4s_wordss_n2w(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,t_h4s_ones_one),X2))),file('i/f/HolSmt/t025', ah4s_HolSmts_r249)).
fof(69, axiom,![X11]:![X30]:![X31]:s(t_h4s_fcps_cart(t_bool,X11),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X11),h4s_wordss_wordu_u_and(s(t_h4s_fcps_cart(t_bool,X11),X31),s(t_h4s_fcps_cart(t_bool,X11),X30)))))=s(t_h4s_fcps_cart(t_bool,X11),h4s_wordss_wordu_u_or(s(t_h4s_fcps_cart(t_bool,X11),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X11),X31))),s(t_h4s_fcps_cart(t_bool,X11),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X11),X30))))),file('i/f/HolSmt/t025', ah4s_wordss_WORDu_u_DEu_u_MORGANu_u_THMu_c0)).
fof(70, axiom,![X11]:![X31]:s(t_h4s_fcps_cart(t_bool,X11),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X11),h4s_wordss_wordu_u_1comp(s(t_h4s_fcps_cart(t_bool,X11),X31)))))=s(t_h4s_fcps_cart(t_bool,X11),X31),file('i/f/HolSmt/t025', ah4s_wordss_WORDu_u_NOTu_u_NOT)).
# SZS output end CNFRefutation
