# 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,X1))))<=>?[X2]:s(t_h4s_nums_num,X1)=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,X2)))))),file('i/f/arithmetic/ODD__EXISTS', ch4s_arithmetics_ODDu_u_EXISTS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/ODD__EXISTS', aHLu_TRUTH)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/arithmetic/ODD__EXISTS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]: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,X1)))))))),file('i/f/arithmetic/ODD__EXISTS', ah4s_arithmetics_ODDu_u_DOUBLE)).
fof(9, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_odd(s(t_h4s_nums_num,X1))))=>?[X2]:s(t_h4s_nums_num,X1)=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,X2)))))),file('i/f/arithmetic/ODD__EXISTS', ah4s_arithmetics_EVENu_u_ODDu_u_EXISTSu_c1)).
# SZS output end CNFRefutation
