# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__eq_c0', aHLu_FALSITY)).
fof(14, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__eq_c0', ah4s_arithmetics_ALTu_u_ZERO)).
fof(24, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/numeral/numeral__eq_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(28, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__eq_c0', ah4s_numerals_numeralu_u_distribu_c9)).
fof(49, 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_nums_suc(s(t_h4s_nums_num,X7)))))),file('i/f/numeral/numeral__eq_c0', ah4s_primu_u_recs_LESSu_u_0)).
fof(67, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X7),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,X7),file('i/f/numeral/numeral__eq_c0', ah4s_arithmetics_EXPu_u_1u_c1)).
fof(86, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_0)))=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/numeral/numeral__eq_c0', ah4s_arithmetics_EXP0u_c0)).
fof(114, axiom,![X7]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,f),file('i/f/numeral/numeral__eq_c0', ah4s_numerals_numeralu_u_distribu_c20)).
fof(133, conjecture,![X7]:(s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))<=>p(s(t_bool,f))),file('i/f/numeral/numeral__eq_c0', ch4s_numerals_numeralu_u_equ_c0)).
# SZS output end CNFRefutation
