# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/bit/ODD__MOD2__LEM', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bit/ODD__MOD2__LEM', aHLu_FALSITY)).
fof(5, axiom,![X7]:(~(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,h4s_nums_0))<=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=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/bit/ODD__MOD2__LEM', ah4s_bits_NOTu_u_MOD2u_u_LEM)).
fof(9, axiom,![X6]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X6))))<=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/bit/ODD__MOD2__LEM', ah4s_arithmetics_EVENu_u_MOD2)).
fof(15, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/bit/ODD__MOD2__LEM', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(28, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/bit/ODD__MOD2__LEM', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(31, axiom,![X7]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/bit/ODD__MOD2__LEM', ah4s_numerals_numeralu_u_equ_c1)).
fof(62, axiom,![X7]:(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X7))))<=>~(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X7)))))),file('i/f/bit/ODD__MOD2__LEM', ah4s_arithmetics_ODDu_u_EVEN)).
fof(66, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/bit/ODD__MOD2__LEM', ah4s_arithmetics_ALTu_u_ZERO)).
fof(97, 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/bit/ODD__MOD2__LEM', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(133, conjecture,![X7]:(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X7))))<=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=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/bit/ODD__MOD2__LEM', ch4s_bits_ODDu_u_MOD2u_u_LEM)).
# SZS output end CNFRefutation
