# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_wordss_wordu_u_extract(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),s(t_h4s_fcps_cart(t_bool,X2),X3))))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X4)))))))),file('i/f/words/WORD__EXTRACT__LT', ch4s_wordss_WORDu_u_EXTRACTu_u_LT)).
fof(11, axiom,![X9]:![X10]:![X11]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X9))))),file('i/f/words/WORD__EXTRACT__LT', ah4s_arithmetics_LESSu_u_EQu_u_LESSu_u_TRANS)).
fof(12, axiom,![X2]:![X3]:![X4]:![X5]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X2),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X2)),h4s_wordss_wordu_u_bits(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),s(t_h4s_fcps_cart(t_bool,X2),X3))))),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X4)))))))),file('i/f/words/WORD__EXTRACT__LT', ah4s_wordss_WORDu_u_BITSu_u_LT)).
fof(13, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),happ(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_wordss_w2w),s(t_h4s_fcps_cart(t_bool,X2),X3))))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X2),X3)))))),file('i/f/words/WORD__EXTRACT__LT', ah4s_wordss_w2nu_u_w2wu_u_le)).
fof(15, axiom,![X1]:![X2]:![X4]:![X5]:s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_wordss_wordu_u_extract(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))=s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_combins_o(s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X1)),h4s_wordss_w2w),s(t_fun(t_h4s_fcps_cart(t_bool,X2),t_h4s_fcps_cart(t_bool,X2)),h4s_wordss_wordu_u_bits(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))))),file('i/f/words/WORD__EXTRACT__LT', ah4s_wordss_wordu_u_extractu_u_def)).
fof(16, axiom,![X1]:![X2]:![X17]:![X16]:![X15]:![X14]:s(X1,happ(s(t_fun(X17,X1),h4s_combins_o(s(t_fun(X2,X1),X14),s(t_fun(X17,X2),X15))),s(X17,X16)))=s(X1,happ(s(t_fun(X2,X1),X14),s(X2,happ(s(t_fun(X17,X2),X15),s(X17,X16))))),file('i/f/words/WORD__EXTRACT__LT', ah4s_combins_ou_u_THM)).
# SZS output end CNFRefutation
