# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/arithmetic/ODD__DOUBLE', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/ODD__DOUBLE', aHLu_FALSITY)).
fof(7, axiom,![X8]: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)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X8))),file('i/f/arithmetic/ODD__DOUBLE', ah4s_arithmetics_TIMES2)).
fof(8, axiom,![X8]:p(s(t_bool,h4s_arithmetics_even(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/arithmetic/ODD__DOUBLE', ah4s_arithmetics_EVENu_u_DOUBLE)).
fof(9, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_bit2(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_u_2b(s(t_h4s_nums_num,X8),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/arithmetic/ODD__DOUBLE', ah4s_arithmetics_BIT20)).
fof(10, 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/arithmetic/ODD__DOUBLE', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(14, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/ODD__DOUBLE', ah4s_arithmetics_ALTu_u_ZERO)).
fof(15, axiom,![X8]:![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X8))))),file('i/f/arithmetic/ODD__DOUBLE', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(17, axiom,![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X11),file('i/f/arithmetic/ODD__DOUBLE', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(25, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_bit1(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_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/arithmetic/ODD__DOUBLE', ah4s_arithmetics_BIT10)).
fof(26, axiom,![X8]:(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))))))<=>~(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X8)))))),file('i/f/arithmetic/ODD__DOUBLE', ah4s_arithmetics_EVEN0u_c1)).
fof(28, axiom,![X8]:(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X8))))<=>~(p(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X8)))))),file('i/f/arithmetic/ODD__DOUBLE', ah4s_arithmetics_ODDu_u_EVEN)).
fof(46, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/arithmetic/ODD__DOUBLE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(58, axiom,![X8]:![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X8))))),file('i/f/arithmetic/ODD__DOUBLE', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(64, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/arithmetic/ODD__DOUBLE', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(133, conjecture,![X8]:p(s(t_bool,h4s_arithmetics_odd(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/arithmetic/ODD__DOUBLE', ch4s_arithmetics_ODDu_u_DOUBLE)).
# SZS output end CNFRefutation
