# 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,f))),file('i/f/words/ZERO__LT__UINT__MAX', aHLu_FALSITY)).
fof(15, axiom,![X9]:((p(s(t_bool,X9))=>p(s(t_bool,f)))<=>s(t_bool,X9)=s(t_bool,f)),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(36, axiom,![X9]:(s(t_bool,f)=s(t_bool,X9)<=>~(p(s(t_bool,X9)))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(53, 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(55, axiom,![X18]:![X21]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),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,X21))))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_NOTu_u_LESS)).
fof(57, axiom,![X14]:![X18]:![X21]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X14)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X18))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_SUBu_u_LEFTu_u_LESS)).
fof(60, 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(68, 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/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(70, axiom,![X18]:![X21]:(s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,X18)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),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,X21)))))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(76, axiom,![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,X21),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(78, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/words/ZERO__LT__UINT__MAX', aHLu_BOOLu_CASES)).
fof(79, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/words/ZERO__LT__UINT__MAX', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
