# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/numeral/numeral__eq_c3', ch4s_numerals_numeralu_u_equ_c3)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__eq_c3', aHLu_FALSITY)).
fof(16, axiom,![X1]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/numeral/numeral__eq_c3', ah4s_nums_NOTu_u_SUC)).
fof(19, 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/numeral/numeral__eq_c3', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(21, axiom,![X1]:![X9]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__eq_c3', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(22, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__eq_c3', ah4s_arithmetics_ALTu_u_ZERO)).
fof(23, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))))),file('i/f/numeral/numeral__eq_c3', ah4s_arithmetics_BIT20)).
# SZS output end CNFRefutation
