# 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_bit2(s(t_h4s_nums_num,X1)))))),file('i/f/numeral/numeral__evenodd_c1', ch4s_numerals_numeralu_u_evenoddu_c1)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__evenodd_c1', aHLu_FALSITY)).
fof(3, 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_c1', ah4s_arithmetics_EVEN0u_c1)).
fof(20, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/numeral/numeral__evenodd_c1', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(43, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1))))<=>~(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1)))))),file('i/f/numeral/numeral__evenodd_c1', ah4s_arithmetics_EVENu_u_ODD)).
fof(48, axiom,![X1]:![X20]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X1))))))<=>s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X20)))=s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X1)))),file('i/f/numeral/numeral__evenodd_c1', ah4s_arithmetics_EVENu_u_ADD)).
fof(56, 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__evenodd_c1', ah4s_arithmetics_BIT20)).
fof(62, axiom,![X1]:![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),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,X20),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__evenodd_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(65, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X20),file('i/f/numeral/numeral__evenodd_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(72, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/numeral/numeral__evenodd_c1', aHLu_BOOLu_CASES)).
fof(73, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/numeral/numeral__evenodd_c1', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(79, 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_c1', ah4s_arithmetics_BIT10)).
fof(81, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))<=>~(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1)))))),file('i/f/numeral/numeral__evenodd_c1', ah4s_arithmetics_ODD0u_c1)).
# SZS output end CNFRefutation
