# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(11, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/words/WORD__H__WORD__L', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(17, axiom,![X7]:![X12]:![X13]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X13),s(X7,X12)))=s(X7,X13),file('i/f/words/WORD__H__WORD__L', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(18, axiom,![X18]:![X19]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X18))),file('i/f/words/WORD__H__WORD__L', ah4s_arithmetics_LESSu_u_EQ)).
fof(24, axiom,![X18]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18)))=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,X18))),file('i/f/words/WORD__H__WORD__L', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(25, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X18),file('i/f/words/WORD__H__WORD__L', ah4s_numerals_numeralu_u_distribu_c1)).
fof(28, axiom,![X7]:s(t_h4s_nums_num,h4s_wordss_intu_u_max(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))),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/words/WORD__H__WORD__L', ah4s_wordss_INTu_u_MAXu_u_def)).
fof(29, axiom,![X7]:s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_l)=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))))),file('i/f/words/WORD__H__WORD__L', ah4s_wordss_wordu_u_Lu_u_def)).
fof(30, axiom,![X7]:s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_h)=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_wordss_intu_u_max(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))))),file('i/f/words/WORD__H__WORD__L', ah4s_wordss_wordu_u_Hu_u_def)).
fof(31, axiom,![X7]:![X21]:![X22]:s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_sub(s(t_h4s_fcps_cart(t_bool,X7),X22),s(t_h4s_fcps_cart(t_bool,X7),X21)))=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X7),X22),s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X7),X21))))),file('i/f/words/WORD__H__WORD__L', ah4s_wordss_wordu_u_subu_u_def)).
fof(32, axiom,![X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value)))))),file('i/f/words/WORD__H__WORD__L', ah4s_wordss_ZEROu_u_LTu_u_INTu_u_MIN)).
fof(34, axiom,![X23]:![X18]:![X19]:s(t_h4s_fcps_cart(t_bool,X23),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X23),h4s_wordss_n2w(s(t_h4s_nums_num,X19))),s(t_h4s_fcps_cart(t_bool,X23),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X23),h4s_wordss_n2w(s(t_h4s_nums_num,X18)))))))=s(t_h4s_fcps_cart(t_bool,X23),h4s_bools_cond(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))),s(t_h4s_fcps_cart(t_bool,X23),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))),s(t_h4s_fcps_cart(t_bool,X23),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X23),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))))))))),file('i/f/words/WORD__H__WORD__L', ah4s_wordss_WORDu_u_LITERALu_u_ADDu_c1)).
fof(35, conjecture,![X7]:s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_h)=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_sub(s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_l),s(t_h4s_fcps_cart(t_bool,X7),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))))))))),file('i/f/words/WORD__H__WORD__L', ch4s_wordss_WORDu_u_Hu_u_WORDu_u_L)).
# SZS output end CNFRefutation
