# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_integers_int,h4s_integeru_u_words_uintu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/integer_word/UINT__MAX0', ch4s_integeru_u_words_UINTu_u_MAX0)).
fof(3, axiom,![X4]:![X5]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X5)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X4)))<=>s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,X4)),file('i/f/integer_word/UINT__MAX0', ah4s_integers_INTu_u_INJ)).
fof(4, axiom,![X1]:s(t_h4s_nums_num,h4s_wordss_uintu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),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/UINT__MAX0', ah4s_wordss_UINTu_u_MAXu_u_def)).
fof(5, axiom,![X1]:s(t_h4s_integers_int,h4s_integeru_u_words_uintu_u_max(s(t_h4s_bools_itself(X1),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_dimword(s(t_h4s_bools_itself(X1),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/UINT__MAX0', ah4s_integeru_u_words_UINTu_u_MAXu_u_def)).
fof(6, axiom,![X4]:![X5]: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,X4),s(t_h4s_nums_num,X5)))))=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,X4))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X5))))),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,X4))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X5))))))),file('i/f/integer_word/UINT__MAX0', ah4s_intu_u_ariths_INTu_u_NUMu_u_SUB)).
fof(9, axiom,![X1]: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_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/integer_word/UINT__MAX0', ah4s_wordss_ZEROu_u_LTu_u_dimword)).
fof(11, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X7),s(X1,X6)))=s(X1,X7),file('i/f/integer_word/UINT__MAX0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(12, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X7),s(X1,X6)))=s(X1,X6),file('i/f/integer_word/UINT__MAX0', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(14, axiom,![X4]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X4)))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(15, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X4),file('i/f/integer_word/UINT__MAX0', ah4s_numerals_numeralu_u_distribu_c1)).
fof(16, axiom,![X4]:![X5]: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,X4))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X5)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X5))),file('i/f/integer_word/UINT__MAX0', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c0)).
fof(17, axiom,![X12]:![X4]:![X5]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X12)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X12))))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(18, axiom,~(p(s(t_bool,f))),file('i/f/integer_word/UINT__MAX0', aHLu_FALSITY)).
fof(26, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/integer_word/UINT__MAX0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(38, axiom,![X4]:![X5]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X4))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_LESSu_u_EQ)).
fof(39, axiom,p(s(t_bool,t)),file('i/f/integer_word/UINT__MAX0', aHLu_TRUTH)).
fof(40, axiom,![X13]:(s(t_bool,X13)=s(t_bool,t)|s(t_bool,X13)=s(t_bool,f)),file('i/f/integer_word/UINT__MAX0', aHLu_BOOLu_CASES)).
fof(44, axiom,![X13]:(s(t_bool,X13)=s(t_bool,t)<=>p(s(t_bool,X13))),file('i/f/integer_word/UINT__MAX0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(45, axiom,![X12]:![X4]:![X5]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X12)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X12))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(46, axiom,![X4]:![X5]:(~(s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,X4))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X4))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X5)))))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(47, axiom,![X4]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))=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,X4))),file('i/f/integer_word/UINT__MAX0', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
# SZS output end CNFRefutation
