# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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_uintu_u_max(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/ZERO__LT__UINT__MAX', ch4s_wordss_ZEROu_u_LTu_u_UINTu_u_MAX)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/ZERO__LT__UINT__MAX', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/ZERO__LT__UINT__MAX', aHLu_FALSITY)).
fof(8, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X2]:((p(s(t_bool,X2))=>p(s(t_bool,f)))<=>s(t_bool,X2)=s(t_bool,f)),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(13, axiom,![X9]:![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_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X10))))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_NOTu_u_LESS)).
fof(14, axiom,![X11]:![X9]:![X10]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X11)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(15, axiom,![X9]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X9)))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(17, axiom,![X9]:![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X9))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_LESSu_u_EQ)).
fof(18, axiom,![X11]:![X9]:![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X11)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X9))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_SUBu_u_LEFTu_u_LESS)).
fof(19, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(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,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_wordss_ONEu_u_LTu_u_dimword)).
fof(20, 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/words/ZERO__LT__UINT__MAX', ah4s_wordss_UINTu_u_MAXu_u_def)).
fof(21, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,X10),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(22, axiom,![X9]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X9),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_numerals_numeralu_u_distribu_c1)).
fof(26, axiom,![X9]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X9)))=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,X9))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(28, axiom,![X9]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X9)))))=s(t_h4s_nums_num,X9),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_numerals_numeralu_u_addu_c0)).
# SZS output end CNFRefutation
