# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/integer_word/INT__MAX0', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer_word/INT__MAX0', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/integer_word/INT__MAX0', aHLu_BOOLu_CASES)).
fof(14, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/integer_word/INT__MAX0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(15, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,t),s(X9,X8),s(X9,X7)))=s(X9,X8),file('i/f/integer_word/INT__MAX0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(16, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,f),s(X9,X8),s(X9,X7)))=s(X9,X7),file('i/f/integer_word/INT__MAX0', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(19, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/integer_word/INT__MAX0', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(22, 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/integer_word/INT__MAX0', ah4s_arithmetics_LESSu_u_EQ)).
fof(24, axiom,![X20]:![X18]:![X19]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X20)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20))))),file('i/f/integer_word/INT__MAX0', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(25, axiom,![X18]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))),file('i/f/integer_word/INT__MAX0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(26, axiom,![X20]:![X18]:![X19]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X20))),file('i/f/integer_word/INT__MAX0', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(27, 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/integer_word/INT__MAX0', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(28, 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/integer_word/INT__MAX0', ah4s_numerals_numeralu_u_distribu_c1)).
fof(29, axiom,![X18]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/integer_word/INT__MAX0', ah4s_numerals_numeralu_u_distribu_c27)).
fof(30, axiom,![X18]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer_word/INT__MAX0', ah4s_numerals_numeralu_u_lteu_c1)).
fof(31, axiom,![X10]:![X6]:(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))<=>s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,X10)),file('i/f/integer_word/INT__MAX0', ah4s_integers_INTu_u_SUBu_u_0)).
fof(32, axiom,![X18]:![X19]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X19)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X18)))<=>s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,X18)),file('i/f/integer_word/INT__MAX0', ah4s_integers_INTu_u_INJ)).
fof(33, axiom,![X18]:![X19]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X18))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X19)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))),file('i/f/integer_word/INT__MAX0', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c0)).
fof(34, axiom,![X18]:![X19]:s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19)))))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X18))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X19))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X18))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X19))))))),file('i/f/integer_word/INT__MAX0', ah4s_intu_u_ariths_INTu_u_NUMu_u_SUB)).
fof(35, axiom,![X9]:s(t_h4s_nums_num,h4s_wordss_intu_u_max(s(t_h4s_bools_itself(X9),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(X9),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/integer_word/INT__MAX0', ah4s_wordss_INTu_u_MAXu_u_def)).
fof(36, axiom,![X9]: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(X9),h4s_bools_theu_u_value)))))),file('i/f/integer_word/INT__MAX0', ah4s_wordss_ZEROu_u_LTu_u_INTu_u_MIN)).
fof(37, axiom,![X9]:s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_max(s(t_h4s_bools_itself(X9),h4s_bools_theu_u_value)))=s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_intu_u_min(s(t_h4s_bools_itself(X9),h4s_bools_theu_u_value))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(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/integer_word/INT__MAX0', ah4s_integeru_u_words_INTu_u_MAXu_u_def)).
fof(38, conjecture,![X9]:s(t_h4s_integers_int,h4s_integeru_u_words_intu_u_max(s(t_h4s_bools_itself(X9),h4s_bools_theu_u_value)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_intu_u_max(s(t_h4s_bools_itself(X9),h4s_bools_theu_u_value))))),file('i/f/integer_word/INT__MAX0', ch4s_integeru_u_words_INTu_u_MAX0)).
# SZS output end CNFRefutation
