# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))))),file('i/f/numeral/numeral__evenodd_c2', ch4s_numerals_numeralu_u_evenoddu_c2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/numeral/numeral__evenodd_c2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__evenodd_c2', aHLu_FALSITY)).
fof(10, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))<=>~(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1)))))),file('i/f/numeral/numeral__evenodd_c2', ah4s_arithmetics_EVEN0u_c1)).
fof(12, axiom,![X1]:![X5]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1))))))<=>s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X5)))=s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1)))),file('i/f/numeral/numeral__evenodd_c2', ah4s_arithmetics_EVENu_u_ADD)).
fof(14, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/numeral/numeral__evenodd_c2', aHLu_BOOLu_CASES)).
fof(15, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X5),file('i/f/numeral/numeral__evenodd_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(16, axiom,![X1]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),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,X5),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__evenodd_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(17, axiom,s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,t),file('i/f/numeral/numeral__evenodd_c2', ah4s_arithmetics_EVEN0u_c0)).
fof(18, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_bit1(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_0))))))),file('i/f/numeral/numeral__evenodd_c2', ah4s_arithmetics_BIT10)).
# SZS output end CNFRefutation
