# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__eq_c4', aHLu_FALSITY)).
fof(6, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral/numeral__eq_c4', ah4s_arithmetics_BIT10)).
fof(9, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))))),file('i/f/numeral/numeral__eq_c4', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(12, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__eq_c4', ah4s_arithmetics_ALTu_u_ZERO)).
fof(15, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))))),file('i/f/numeral/numeral__eq_c4', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(22, 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/numeral/numeral__eq_c4', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(29, axiom,![X7]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7))),file('i/f/numeral/numeral__eq_c4', ah4s_numerals_numeralu_u_sucu_c1)).
fof(46, axiom,![X7]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))))),file('i/f/numeral/numeral__eq_c4', ah4s_numerals_numeralu_u_sucu_c2)).
fof(62, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/numeral/numeral__eq_c4', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(76, axiom,![X7]:(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X7))))<=>?[X8]:s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X8)))))),file('i/f/numeral/numeral__eq_c4', ah4s_arithmetics_ODDu_u_EXISTS)).
fof(77, axiom,![X7]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X7))))<=>?[X8]:s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X8)))),file('i/f/numeral/numeral__eq_c4', ah4s_arithmetics_EVENu_u_EXISTS)).
fof(79, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X7))),file('i/f/numeral/numeral__eq_c4', ah4s_arithmetics_TIMES2)).
fof(124, 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/numeral/numeral__eq_c4', ah4s_arithmetics_ODDu_u_EVEN)).
fof(127, axiom,![X8]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),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/numeral/numeral__eq_c4', ah4s_arithmetics_ADD1)).
fof(130, 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__eq_c4', ah4s_arithmetics_ONE)).
fof(133, conjecture,![X7]:![X8]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X8)))<=>p(s(t_bool,f))),file('i/f/numeral/numeral__eq_c4', ch4s_numerals_numeralu_u_equ_c4)).
# SZS output end CNFRefutation
