# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))),file('i/f/numeral/numeral__evenodd_c5', ch4s_numerals_numeralu_u_evenoddu_c5)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/numeral/numeral__evenodd_c5', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__evenodd_c5', aHLu_FALSITY)).
fof(7, 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_c5', ah4s_arithmetics_ODD0u_c1)).
fof(9, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/numeral/numeral__evenodd_c5', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(20, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/numeral/numeral__evenodd_c5', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(53, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_odd(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_c5', ah4s_arithmetics_ODDu_u_EVEN)).
fof(58, axiom,![X1]:![X20]:(p(s(t_bool,h4s_arithmetics_odd(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_odd(s(t_h4s_nums_num,X20)))=s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__evenodd_c5', ah4s_arithmetics_ODDu_u_ADD)).
fof(60, axiom,![X1]:s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1))),file('i/f/numeral/numeral__evenodd_c5', ah4s_numerals_numeralu_u_distribu_c32)).
fof(64, axiom,~(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/numeral/numeral__evenodd_c5', ah4s_numerals_numeralu_u_evenoddu_c3)).
fof(65, 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_c5', ah4s_arithmetics_BIT10)).
fof(67, axiom,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_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/numeral/numeral__evenodd_c5', ah4s_arithmetics_ONE)).
fof(74, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/numeral/numeral__evenodd_c5', ah4s_numerals_numeralu_u_sucu_c0)).
# SZS output end CNFRefutation
